Personal Information

Dr. Jai Prakash Tripathi

Assistant Professor
Department of Mathematics

M.Sc., PhD (IIT Mandi)

jaiprakash_math@curaj.ac.in
  • Mathematical Biology
  • Dynamical Systems
  • Mathematical Epidemeolgy
  • Nonliear Dynamics

Education

• Ph.D.: Mathematical Biology, Indian Institute of Technology Mandi (IIT Mandi), H.P. India
• Thesis Topic: Dynamical analysis of some predator-prey models with help and refuge
• Advisors: Dr. Syed Abbas and Dr. Manoj Thakur  

    •    M.Sc. Mathematics, Dr. R.M.L. Avadh University Faizabad, U.P., 2006. 

    •    B.Sc. Mathematics, Dr. R.M.L. Avadh University Faizabad, U.P., 2004. 

    •    Intermediate, A.J.I.C. Tanda Ambedkar Nagar, U.P., 2001. 

    •    High School, A.J.I.C. Tanda Ambedkar Nagar, U.P., 1999. 

    •    February, 2015 - Present. Assistant Professor, School of Mathematics, Statistics and Computational Sciences, Department of Mathematics, Central University of Rajasthan, Kishangarh, India. 

    •    Currently I am teaching following courses:
(i) Linear Algebra (ii) Advanced Linear Algebra (iii) Scientific Writing bya LATex

Teaching experience 

    •    Courses taught in the last semesters:
(i) Linear Algebra (ii) Abstract Algebra (iii) Vector calculus and matrices (iv) Real Analysis (v) Dynamical systems (vi) Numerical Analysis (vii) Differential Equations (viii) Mathematical Biology (ix) Mathematical Modeling

    •    October, 2010- January, 2015. Teaching Assistant (TA), IIT Mandi for different courses in Mathematics. 

    •    July, 2007 - August, 2010. Lecturer, Department of Mathematics, G.S.P.G. College Sultanpur, U.P., India.

Fellowship/Awards/Travel Grants

  •  Certificate and Silver medal for the 2nd rank in B.Sc. in 2004
  •  2nd Rank in M.Sc. in 2006
  •  Qualified CSIR-JRF-June, 2010
  •  Qualified GATE-2010. 
  •  Awarded CSIR Senior Research Fellowship for the year 2013-2015
  • Financial support, IIT Mandi to attend and present a research paper in ICNAAM 2012, 19-25 September, 2012 held at Kipriotis Hotels, Kos, Greece
  • Best paper presentation award for the paper ”Global stability of a predator-prey system with Crowley-Martin functional response” in Anushndhan- 2014 held at IIT Mandi
  • Selected for Young faculty award, VIFFA-2015
  • Financial support, DST-SERB, Govt. of India to attend and present a research paper in MADEA-7, 8-13 September, 2015 held at AF Hotel and Aqau Park, Baku, Azerbaijan
  • Financial support, Society of Mathematical Biology (SMB) to participate and Chair a session in AMNS-2016, 26-29 May, 2016 held at Kathmandu, Nepal
  • Financial support, Society of Mathematical Biology (SMB) to participate and present a research paper in ICAAMM 2017, 3-7 July, 2017 held at Gelisim University, Istanbul, Turkey. 
  • Financial support, DST-SERB, Govt. of India to participate and present a research paper in DSABNS 2019, 4-7 February, 2019 held at , University of Trento, Trento, Italy. 

 

With broad research interest in mathematical ecology and epidemiology, I use variety of modeling approaches and mathematical analysis techniques to address some basic questions in mathematical ecology and epidemiology. In particular, I explore interactions at the population and ecosystem level. I develop variety of ecological and epidemic model systems using ordinary, partial, functional and integro-differential equations. For examining and understanding the non-linear features (e.g., stability, resilience, robustness, transient dynamics, bifurcations, periodicity, almost periodicity, oscillations etc.) of model systems, I use the following mathematical techniques: Linearization of differential equations, Lyapunov function, Fluctuation Lemma, stability theory, Bifurcation theory, normal form theory, center manifold theory, perturbation theory, Semigroup theory. For numerical computations , I preferably use MATLAB, MATHEMATICA and MAPPLE.

Reviewer/Referee

  • Journal of Mathematical Analysis and Applications
  • Scientific Reports
  • Journal of Mathematical Biology
  • Mathematical Biosciences
  • Applied Mathematical Modelling
  • Journal of Theoretical Biology
  • Ecological Modelling
  • Bulletin of Mathematical Biology
  • Applied Mathematics and Computation
  • Mathematics Reviews (American Mathematical Society)
  • Royal Society Open Sciences

Memberships in Scientific Organizations

  •  Annual member of Society for Industrial and Applied Mathematics (SIAM), USA 
  • Life member of Indian Mathematical Society (IMS), India
  • Annual member of Society of Mathematical Biology (SMB), Canada
  • Life member of Indian Science Congress Association (ISCA), India
  • Life member of Ramanujan Mathematical Society (RMS), India
S. No. Authors Title of Article Journal/Conference Details Journal/Conference Publication Year
1 Kumar U., Mandal P.S., Tripathi J.P., Bajiya V.P., Bugalia S. SIRS epidemiological model with ratio-dependent incidence: Influence of preventive vaccination and treatment control strategies on disease dynamics Mathematical Methods in Applied Sciences, 44(18) 14703-14732, 2022 (Wiley, SCI, Impact Factor: 3.007) Journal 2022
2 Akman, O., Chauhan, S., Ghosh, A., Liesman, S., Michael, E., Mubayi, A., Perlin, R., Seshaiyer, P., Tripathi J.P., The Hard Lessons and Shifting Modeling Trends of COVID-19 Dynamics: Multiresolution Modeling Approach Bulletin of Mathematical Biology, 1-30, 2022 (Springer, SCI, Impact Factor: 3.871) Journal 2022
3 Bajiya V.P., Tripathi J.P., Kakkar V., Kang Y. A widespread interaction between generalist and specialist enemies: The role of intraguild predation and Allee effect Applied Mathematical Modelling, 89, 105-135, 2022, (Elsevier, SCI, Impact Factor: 5.336) Journal 2022
4 Vandana Tiwari, Jai Prakash Tripathi, Debaldev Jana, Satish Kumar Tiwari, Ranjit Kumar Upadhyay Modeling the impacts of awareness and limited medical resources on the epidemic size of a multi-group SIR epidemic model International Journal of Biomathematics, 15(7) 2250045, 2022 (World Scientific, SCI, Impact Factor: 2.129) Journal 2022
5 Tripathi J.P., Bugalia S., Jana, D., Gupta S., Tiwari, V., Li J., Sun G- Q. Modeling the cost of anti-predator strategy in a predator-prey system: The roles of indirect effect Mathematical Methods in Applied Sciences, 45(8) 4365-4396, 2022 (Wiley, SCI, Impact Factor: 3.007), Journal 2022
6 Bajiya V.P., Bugalia S., Tripathi J.P., Martcheva M. Deciphering the transmission dynamics of COVID-19 in India: optimal control and cost effective analysis Journal of Biological Dynamics, 16(1) 765-712, 2022, 2022 (Taylor and Francis, SCI, Impact Factor: 2.726), Journal 2022
7 Bugalia S., Tripathi J.P., Wang H. Estimating the time-dependent effective reproduction number and vaccination rate for COVID-19 in the USA and India Mathematical Biosciences and Engineering, 20(3) 4673-4689 2022 (AIMS, SCI, Impact Factor: 2.194) Journal 2022
8 Bugalia S., Tripathi J.P., Abbas S., Wang H. General theory for significance of culling in two-way disease transmission between humans and animals Journal of Biological Systems, Accepted 2023 (World Scientific SCI, Impact Factor: 1.6) Journal 2023
9 Bajiya V.P, Tripathi J.P., Upadhyay R.K. Deciphering dynamics of COVID-19 outbreak in India: An age structured model Journal of Biological Systems, Accepted 2023 (World Scientific SCI, Impact Factor: 1.6) Journal 2023
10 Bugalia S., Tripathi J.P., Assessing potential insights of an imperfect testing strategy: Parameter estimation and practical identifiability using early COVID-19 data in India, Communication in Nonlinear Science and Numerical Simulation (Elsevier, SCI, Impact Factor: 4.186) Journal 2023

Referred (Peer-Reviewed) Journal 

  1. Bajiya V.P, Tripathi J.P., Upadhyay R.K., Deciphering dynamics of COVID-19 outbreak in India: An age structured model, Journal of Biological Systems, Accepted 2023 (World Scientific, SCI, Impact Factor: 1.6).Link: https://www.worldscientific.com/doi/abs/10.1142/S0218339023500468

  2. Bugalia S., Tripathi J.P., Assessing potential insights of an imperfect testing strategy: Parameter estimation and practical identifiability using early COVID-19 data in India, Communi cation in Nonlinear Science and Numerical Simulation, 123 107280 2023 (Elsevier, SCI, Impact Factor: 4.186).Link: https://www.sciencedirect.com/science/article/pii/S1007570423001983

  3. Bugalia S., Tripathi J.P., Abbas S., Wang H., General Theory for significance of culling in two-way disease transmissio n between humans and animals, Journal of Biological Systems, Accepted, 1-42 2023 (World Scientific, SCI, Impact Factor: 1.6).Link: https://www.worldscientific.com/doi/10.1142/S0218339023500286

  4. Bugalia S., Tripathi J.P., Wang H., Estimating the time-dependent effective reproduction number and vaccination rate for COVID-19 in the USA and India, Mathematical Biosciences and Engineering, 20(3) 4673-4689 2022 (AIMS, SCI, Impact Factor: 2.194).Link: https://www.aimspress.com/article/doi/10.3934/mbe.2023216

  5. Bajiya V.P., Bugalia S., Tripathi J.P., Martcheva M., Deciphering the transmission dynamics of COVID-19 in India: optimal control and cost effective analysis, Journal of Biological Dynamics, 16(1) 765-712, 2022 (Taylor \& Francis, SCI, Impact Factor: 2.726), Link: https://www.tandfonline.com/doi/full/10.1080/17513758.2022.2116493

  6. Tripathi J.P., Bugalia S., Jana, D., Gupta S., Tiwari, V., Li J., Sun G- Q., Modeling the cost of anti-predator strategy in a predator-prey system: The roles of indirect effect, Mathematical Methods in Applied Sciences, 45(8) 4365-4396, 2022 (Wiley, SCI, Impact Factor: 3.007), Link: https://onlinelibrary.wiley.com/doi/abs/10.1002/mma.8044

  7. Bajiya V.P., Tripathi J.P., Kakkar V., Kang Y., Modeling the impacts of awareness and limited medical resources on the epidemic size of a multi- group SIR epidemic model, International Journal of Biomathematics, 15(7) 2250045, 2022 (World Scientific, SCI, Impact Factor: 2.129), Link: https://www.worldscientific.com/doi/abs/10.1142/S1793524522500450

  8. Akman, O., Chauhan, S., Ghosh, A., Liesman, S., Michael, E., Mubayi, A., Perlin, R., Seshaiyer, P., Tripathi J.P., The Hard Lessons and Shifting Modeling Trends of COVID-19 Dynamics: Multiresolution Modeling Approach, Bulletin of Mathematical Biology, 1-30, 2022 (Springer, SCI, Impact Factor: 3.871), Link: https://link.springer.com/article/10.1007/s11538-021-00959-4

  9. Kumar U., Mandal P.S., Tripathi J.P., Bajiya V.P., Bugalia S., SIRS epidemiological model with ratio-dependent incidence: Influence of preventive vaccination and treatment control strategies on disease dynamics, Mathematical Methods in Applied Sciences, 44(18) 14703-14732, 2021 (Wiley, SCI, Impact Factor: 3.007), Link: https://onlinelibrary.wiley.com/doi/abs/10.1002/mma.7737

  10. Bajiya, V.P., Tripathi J.P., Kakkar, V., Wang, J. and Sun, G.Q., Global Dynamics of a Multi-group SEIR Epidemic Model with Infection Age, Chinese Annals of Mathematics, Series B, 833-860, 2021 (Springer, SCI, Impact Factor: 0.531), Link: https://link.springer.com/article/10.1007/s11401-021-0294-1

  11. Jai Prakash Tripathi, Sarita Bugalia, Heena Choudhary, Devendra Kumar, Jagdev Singh, Role of harvesting and allee in a predator-prey model with disease in the both populations, Nonlinear Studies,  28(4), 2021, (Elsevier, Scopus), Link:http://nonlinearstudies.com/index.php/nonlinear/article/view/2130

  12.  Tripathi J.P., Bugalia, S., Burdak, K., Abbas, S., Dynamical analysis and effects of law enforcement in a social interaction model, Physica A: Statistical Mechanics and its Applications, 567, 125725, 2021, (Elsevier, SCI, Impact Factor: 3.778), Link: https://www.sciencedirect.com/science/article/abs/pii/S0378437120310232

  13.  Sarita Bugalia, Jai Prakash Tripathi, Hao Wang, Mathematical modeling of intervention and low medical resource availability with delays: Applications to COVID-19 outbreaks in Spain and Italy, Mathematical Biosciences and Engineering, 18(5), 5865-5920, 2021,  (AIMS, SCI, Impact Factor: 2.194), Link: https://www.aimspress.com/article/doi/10.3934/mbe.2021295

  14.   Vijay Pal Bajiya, Sarita Bugalia, Jai Prakash Tripathi, Mathematical modeling of COVID-19: Impact of non-pharmaceutical interventions in India, Chaos: An Interdisciplinary Journal of Nonlinear Science,  30(11), 113143, 2020, (AIP, SCI, Impact Factor: 3.741), Link: https://aip.scitation.org/doi/full/10.1063/5.0021353

  15.   Jai Prakash Tripathi, Sarita Bugalia, Vandana Tiwari, Yun Kang, A predator–prey model with Crowley–Martin functional response: A nonautonomous study, Natural Resource Modeling, 33(4), e12287, 2020, (Wiley,  SCI, Impact Factor: 1.394), Link: https://onlinelibrary.wiley.com/doi/full/10.1111/nrm.12287

  16.   Jai Prakash Tripathi, Debaldev Jana, NSNVK Vyshnavi Devi, Vandana Tiwari, Syed Abbas, Intraspecific competition of predator for prey with variable rates in protected areas, Nonlinear Dynamics, 102(1), 511-535, 2020, (Springer,  SCI, Impact Factor: 5.741), Link: https://link.springer.com/article/10.1007/s11071-020-05951-6

  17.   Sarita Bugalia, Vijay Pal Bajiya, Jai Prakash Tripathi, Ming-Tao Li, Gui-Quan Sun, Mathematical modeling of COVID-19 transmission: the roles of intervention strategies and lockdown, Mathematical Biosciences and Engineering, 17(5), 5961-5986, 2020, (AIMS,  SCI, Impact Factor: 2.194), Link: https://www.aimspress.com/article/id/5673

  18.   Jai Prakash Tripathi, Partha Sarathi Mandal, Ashish Poonia, Vijay Pal Bajiya, A widespread interaction between generalist and specialist enemies: The role of intraguild predation and Allee effect, Applied Mathematical Modelling, 89, 105-135, 2020,  (Elsevier, SCI, Impact Factor: 5.336), Link: https://www.sciencedirect.com/science/article/abs/pii/S0307904X20303644

  19.   Vandana Tiwari, Jai Prakash Tripathi, Debaldev Jana, Satish Kumar Tiwari, Ranjit Kumar Upadhyay, Exploring complex dynamics of spatial predator-prey system: role of predator’s interference and additional food,  International Journal of Bifurcation and Chaos, 30 (7), 2050102, 2020, (World Scientific, SCI, Impact Factor: 2.450), Link: https://www.worldscientific.com/doi/abs/10.1142/S0218127420501023

  20.   Vandana Tiwari, Jai Prakash Tripathi, Ranjit Kumar Upadhyay, Yong-Ping Wu, Jin-Shan Wang, Gui-Quan Sun, A predator-prey interaction system with mutually interfering predator: the role of feedback controls, Applied Mathematical Modelling, 87, 222-244, 2020, (Elsevier, SCI, Impact Factor: 5.336), Link: https://www.sciencedirect.com/science/article/abs/pii/S0307904X20302171

  21.   HM Srivastava, Urmimala Dey, Archismaan Ghosh, Jai Prakash Tripathi, Syed Abbas, A Taraphder, Madhumita Roy, Growth of tumor due to Arsenic and its mitigation by black tea in Swiss albino mice, Alexandria Engineering Journal, 59(3), 2020,  1345-1357, (Elsevier, SCI, Impact Factor: 6.626), Link:https://www.sciencedirect.com/science/article/pii/S1110016820300995

  22.   Tiwari V., Tripathi J.P., Mishra S., Upadhyay R.K., Modeling the fear effect and stability of non-equilibrium patterns in mutually interfering predator-prey systems, Applied Mathematics and Computation, 371, 124948, 2019, (Elsevier, SCI, Impact Factor: 4.397), Link:https://www.sciencedirect.com/science/article/abs/pii/S0096300319309403

  23.   Zhang Z., Kundu, S., Tripathi, J.P., Bugalia, S., Stability and Hopf bifurcation analysis of an SVEIR epidemic model with vaccination and multiple time delays, Chaos Solitons and Fractals, 109483, 2019 (ISSN: 0960-0799) (Elsevier, SCI, Impact Factor: 9.922).   Link:https://www.sciencedirect.com/science/article/abs/pii/S0960077919304291

  24.   Tiwari V., Tripathi J.P., Abbas, S., Wang J-H., Sun, G.-Q., Jin, Z., Qualitative analysis of a diffusive Crowley–Martin predator–prey model: the role of nonlinear predator harvesting, Nonlinear Dynamics, 98(2), 1169-118, 2019, (Springer,  SCI, Impact Factor: 5.741)  Link: https://link.springer.com/article/10.1007/s11071-019-05255-4

  25.    Tripathi J.P., Meghwani S.S., Tyagi S., Abbas S., Dynamical analysis of a predator-prey interaction model with time delay and prey refuge, Nonautonomous Dynamical Systems, 5(1), 138-151, 2018 (ISSN: 2353-0626) (De Gruyter), Link: https://www.degruyter.com/view/j/msds.2018.5.issue-1/msds-2018-0011/msds-2018-0011.xml

  26.   Tripathi J.P., Abbas, S., Sun, G.-Q., Jana, D., Wang, C.H., Interaction between prey and mutually interfering predator in prey reserve habitat: Pattern formation and the Turing–Hopf bifurcation, Journal of Franklin Institute, 355, 7466-7489, 2018 (ISSN: 0016-0032) (Elsevier,  SCI, Impact Factor: 4.246), Link: https://www.sciencedirect.com/science/article/abs/pii/S0016003218305076

  27.   Tripathi J.P., Jana D., Tiwari V., A Beddington–DeAngelis type one-predator two-prey competitive system with help, Nonlinear Dynamics, 93, 1-21, 2018 (ISSN: 0924-090X) (Springer,  SCI, Impact Factor: 5.741), Link: https://link.springer.com/article/10.1007/s11071-018-4377-9

  28.   Tripathi J.P., Meghwani S.S., Tyagi S., Abbas S., Global dynamics and parameter identifiability in a predator-prey interaction model, Nonautonomous Dynamical Systems, 5(1), 113-126, 2018 (ISSN: 2353-0626) (De Gruyter), Link: https://link.springer.com/article/10.1007/s11071-018-4377-9

  29.   Parshad R.D., Basher A., Jana D., Tripathi J.P., Do prey handling predators really matters: Subtle effects of Crowley-Martin functional response, Chaos Solitons and Fractals, 103, 410-421, 2017 (ISSN No. 0960-0799) (Elsevier,  SCI, Impact Factor: 9.922), Link: http://www.sciencedirect.com/science/article/pii/S1007570415002099

  30.   Tripathi J.P., Meghwani S.S., Thakur M., Abbas S., A modified Leslie-Gower predator-prey interaction model and parameter identifiability, Communications in Nonlinear Science and Numerical Simulation, 54(1) 331-346, 2017 (ISSN No. 1007-5704 ) (Elsevier,  SCI, Impact Factor: 4.186), Link: http://www.sciencedirect.com/science/article/pii/S1007570415002099

  31.   Abbas S., Tripathi, JP., Neha A.A., Dynamical analysis of a model of social behavior: Criminal vs Suppressed population, Chaos Solitons and Fractals, 98 121-129, 2017 (ISSN: 0960-0799) (Elsevier,  SCI, Impact Factor: 9.922), Link: http://www.sciencedirect.com/science/article/pii/S0960077917300802

  32.   Jana D., Tripathi, J.P., Impact of generalist type sexually reproductive top predator interference on the dynamics of a food chain model, International Journal of Dynamics and Control (IJDY), DOI: 10.1007/s40435-016-0255-9, 2016  (Springer, Scopus) (ISSN: 2195-2698), Link: http://rd.springer.com/article/10.1007%2Fs12591-016-0298-6

  33.   Tripathi J.P., Almost periodic solution and global attractivity for a density dependent predator-prey system with mutual interference and Crowley-Martin response function, Accepted in Differential Equations and, Dynamical Systems (Springer, SCIE, Scopus), (DOI: 10.1007/s12591-016-0298-6), 2016, (ISSN: 00971-3514), Link:  http://rd.springer.com/article/10.1007/s40435-016-0255-9

  34.   Tripathi, J.P., Abbas S., Global dynamics of autonomous and nonautonomous SI epidemic models with nonlinear incidence rate and feedback controls, Nonlinear Dynamics, 86(1), 337-351, 2016 (ISSN: 0924-090X) (Springer, SCI, Impact Factor: 5.741) (ISSN: 1573-269X), Link:  http://rd.springer.com/article/10.1007/s11071-016-2892-0

  35.   Tripathi J.P., Tyagi S., Abbas S., Global analysis of a delayed density dependent predator-prey model with Crowley-Martin type functional response, Communications in Nonlinear Science and Numerical Simulation, 30, 45-69, 2016 (ISSN No. 1007-5704 ) (Elsevier,  SCI, Impact Factor: 4.186), Link: http://www.sciencedirect.com/science/article/pii/S1007570415002099

  36.   Tripathi J.P., Abbas S., Thakur M., A density dependent delayed predator-prey model with Beddington-DeAngelis type functional response incorporating a prey refuge, Communications in Nonlinear science and Numerical Simulation, 22 (1-3), 427-450, 2015 (ISSN No. 1007-5704 ) (Elsevier,  SCI, Imapct Factor: 4.186), Link: http://www.sciencedirect.com/science/article/pii/S1007570414004018

  37.   Tripathi J.P., Abbas S., Thakur M., Dynamical analysis of a prey-predator model with Beddington-DeAngelis type function response incorporating a prey refuge, Nonlinear Dynamics, 80 (1-2), 177-196, 2015 (ISSN: 0924-090X) (Springer, SCI, Impact Factor: 5.741), Link: http://link.springer.com/article/10.1007%2Fs11071-014-1859-2

  38.   Tripathi J.P., Abbas S., Thakur M., Local and global stability analysis of two-prey one predator model with help, Communications in Nonlinear Science and Numerical Simulation, 19(9), 3284-3297, 2014 (ISSN No. 1007-5704 ) (Elsevier, SCI, Impact Factor: 4.186),  Link:  http://www.sciencedirect.com/science/article/pii/S1007570414000562

  39.   Tripathi J.P., Abbas S., Thakur M., Dynamical analysis of a density dependent two prey one predator model with help, Dynamics of Continuous, Discrete and Impulsive, Systems (DCDIS) Series B, , 24(1) 49-81, 2017 (ISSN: 1918-2538) (Waterloo University, Watam Press, Scopus), Link:  http://online.watsci.org/contents2017/v24n1b.html

  40.   Tripathi J.P., Abbas S., Thakur M., Analysis of a Beddington-DeAngelis type predator-prey model, Mathematical Sciences International Research Journal, 3 (1), 152-157, 2014 (ISSN: 2278-8697), Link: http://imrfjournals.in/pdf/MATHS/MSIRJ-Volume-3-Issue-1-2014/31.pdf

 

Conference Proceedings/Book Chapters

  1. Tripathi J.P., Abbas S., Thakur M., Stability Analysis of Two Preys One Predator Model, AIP Conf. Proc., 1479, 905, 2012 (ISSN: 0094-243X) (American Institute of Physics), Link:http://scitation.aip.org/content/aip/proceeding/aipcp/10.1063/1.4756288

  2. Tripathi J.P., Abbas S., Book Chapter: Almost periodicity of a modified Leslie-Gower predator-prey system with Crowley-Martin response function, Book Title: Mathematical Analysis and Its Applications, Publisher: Springer, Volume 143, 2015, 309-317 (ISBN: 978-81-322-2485-3), Link: http://link.springer.com/chapter/10.1007%2F978-81-322-2485-3_25

  3. Tripathi J.P., Tiwari, V.,  A delayed non-autonomous predator-prey model with Crowley-Martin functional response, Accepted, ICMC, 2018, Publisher: Mathematics and Computing, Springer, 164-173, 2018, Link: https://link.springer.com/chapter/10.1007%2F978-981-13-0023-3_16

  4. Tripathi J.P., Tiwari, V., Abbas, S.,  Book Chapter: An ecological model with some applications, Accepted, Publisher: Advances in Intelligent Systems and Computing, Springer, 557-563, 2018, Link: https://link.springer.com/chapter/10.1007/978-981-13-0224-4_50

 

  • Project 1.

Title: "Spatiotemporal modelling of Schistosomiasis transmission and control under various demographic and seasonal environment"

Funding Agency: University Grant Commission (UGC), India

Amount: Rs. 1000000 (10 Lakhs)

Current Status: Completed

 

  • Project 2.

Title: "Mathematical modeling of the biological control problems: Non-chemical methods in population and disease controlt"

Funding Agency: Science and Engineering Research Board (SERB), India

Amount: Rs. 1801222 (Eighteen Lakhs one Thousand Two Hundred Twenty Two)

Current Status: Completed

 

  • Project 3.

Title: "Mutations makes the pandemic worse or better: a mathematical modeling study"

Funding Agency: Science and Engineering Research Board (SERB), MATRICS, India

Amount: Rs. 600000 ( 6 Lakhs)

Current Status: Ongoing

Attended

International: 

 –  Presented a paper titled ”Stability Analysis of a two-prey one predator model” in the International Conference of Numerical Analysis and Applied Mathematics (ICNAAM-2012), Kos, Greece, September 19-25, 2012.

–  Participated in DAAD supported International workshop on Advances in PDE modeling and computations, IIT Madras, October 21-25, 2013.

 –  Participated in Indo-Canadian workshop on Mathematical Modelling of Infectious Diseases (ICWMMID), IIT Roorkee, January 20-22, 2014.

–  Participated in TIFR-PIMS, Canada program on the Advances in Mathematical Biology, IISER Pune, December 7-16, 2014.

–  Presented a paper titled “Almost periodicity of a modified Leslie- Gower predator-prey system with Crowley-Martin functional response” in the International Conference on recent trends in Mathematical Analysis and Applications (ICRTMAA-2014), IIT Roorkee, December 21- 23, 2014.

 –  Presented a paper titled “Dynamical analysis of a prey-predator model
with Beddington-DeAngelis type prey-predator functional response incorporating a prey refuge” in ICOCBASD-2015, Central University of Rajasthan, February 20-22, 2015.

–  Presented a paper titled “Almost periodic solution for a delayed non- autonomous predator-prey model” in MADEA-7,, Baku, Azerbaijan, September 8-13, 2015.

–  Presented a paper titled “Almost periodic solution for a density dependent predator-prey system with mutual interference and Crowley-Martin response function” in CONIAPS XVIII, University of Allahabad, December 22-24, 2015

–  Chaired a session and presented a paper titled “A non-autonomous predator-prey model incorporating a prey refuge” in International Conference on Applications of Mathematics to Nonlinear Sciences (AMNS-2016), Kathmandu, Nepal, May 26-29, 2016.

–  Presented a paper titled “Almost periodicity in an ecological system”
in the International Conference on Mathematical Modeling and Simulation, Department of Mathematics BHU, India, August 29-31, 201

–  Presented a paper titled “Almost periodic solution for a density dependent predator-prey system with mutual interference and Crowley-Martin response  function” in the ICAAMM 2017, Gelisim University Istanbul, Turkey, July 3-7, 2017. 

–  Presented a paper titled “A non-autonomous ecological model with some applications” in the ICACIE 2017, Central University of Rajasthan Ajmer, India, November 23-25, 2017.

–  Presented a paper titled “A delayed non-autonomous predator-prey model with Crowley-Martin functional response” in the ICMC 2018, IIT (BHU) Varanasi, India, January 9-11, 2018.

–  Presented a paper titled “A Social interaction model with Holling type II functional response” in the DSABNS 2020, University of Trento Trento, Italy, February 4-7, 2020.

–  Invited Talk in Indo-US Conference on the “The Science of Mathematical Modeling and Decision Making: A Changing Trajectory into the Future, From Past to Post COVID-19 Pandemic” SSSIHL India and Illions State University, USA, October 28-30, 2021.

–  Presented a paper titled “Transmission Dynamics of Co-infection COVID-19 with Diabetes in India” in the 8th CIJK Confrence on Mathematical and Theoretical Biology, 2023, University of Trento Trento, South Korea, June 27-July 01, 2023.

• National: 

–Participated in Workshop on Stability & Bifurcation Analysis & Pattern Formation in Mathematical Ecology & Epidemiology, IIT Kanpur, February 25 - March 2, 2011.

–Participated in Workshop and Conference on National Conference on Evolution Equations: Theory, Methods & Applications (NCEETMA), IIT Kanpur, December 2-8, 2012.

–Participated in the Research Fair 2013, IIT Mandi, 26th June, 2013

–Presented a paper titled “A delayed predator prey system with Crowley- Martin functional response” in the Research Fair Anusandhan’14, IIT Mandi, 19th June, 2014

–Participated in a three day Lecture Programme on “ Mathematical Modelling and Data Analysis in Biology”, IIT Mandi, October 27- 29, 2014.

–Presented a paper titled “Almost periodicity of a delayed modified predator-prey system with Crowley-Martin functional response” in the 80th Annual conference of Indian Mathematical Society (IMS-2014) ISM Dhanbaad, December 27-30, 2014.

–  Participated in ISL (ATM school) for Lecturers on “Analysis and Differential Equations”, TIFR, CAM Bangalore, December 7-16, 2015.

–  Chaired a session in NWMMS, Central University of Rajasthan, India, March 14-18, 2016

 –Invited Talk on “ Mathematical Modeling and Differential Equations” in one week Faculty Development Programme on “Innovative Trends in Computing Technology and Engineering”, MITS Gwalior, India, March 25, 2017. 

–Invited Talk on “ Solution of Systems of Differential Equations and Fundamental Matrix” in the Workshop on “Differential Equations, Bifurcation and Chaos with Numerical Simulations in MATLAB”, BHU, Varanasi, India, October 27-28, 2018.

–Guest Lecture on “ Some Applications of Differential Equations” in the Expert Lecture Series on “ Applications of Linear Algebra and Differential Equations”, Vivekananda Global University Jaipur, India, February 15, 2019. 

– Keynote Lecture on “ Latex and MATLAB: Some Applications” in the Short Term Course on “Latex and MATLAB Indispensable Tools for Research”, Department of Applied Sciences & Humanities and M.B.A, Bundelkhand Institute of Engineering and Technology (BIET), Jhansi, India, July 8-12, 2019. 

– Invited Talk on  “in one week online Faculty Development Program (FDP) on `` Mathematics and Its applications in Science \& Engineering, Rajkiya Engineering College (REC) Ambedker Nagar, UP, India, August 13, 2019. 

– Invited Talk on "From Linear Algebra to Ecological Models via Differential Equations"  in in one week online Faculty Development Program (FDP) on “ Mathematics and Its applications in Science & Engineering ”, Shri Vaishno Mata University, Jammu, India, September 27- October 01, 2021.

– Invited Talk on "Multi-strain epidemic models"  in National Conference  on“ Recent Trends in Mathematical Modeling and Its Applications (NCRTMA-2021)" , The ICFAI University Tripura, India, August 23-27, 2021.
 – Invited Talk on "Mathematical Models and Differential Equations" in 1st International Workshop on Recent Trends in Modeling and Its Applications-2022 on `` Mathematics and Its applications in Science \& Engineering " (IWRTMIA-2022), Post-Graduate College Ghazipur UP, India, September 4-8, 2022.

 – Invited Talk on "Applications of Mathematical Models using Differential Equations" in 1st International Workshop on "National Conference on Computational & Characterization Techniques in Engineering and Sciences (CCTES-2 ), REC Ambedkar Nagar, UP, India, February 27-28, 2023.

– Invited Talk on "Interactive Population Models and Biocontrol" in A Five-day Online FDP on Mathematical Modeling in Biological Systems, Vellore Institute of Technology (VIT), Chennai, June 19-23, 2023.

 – Invited Talk on "Population Interactive Models and Biocontrol" in  "National Conference on Recent Trends in Mathematical Biology, Theory, Methods, and Applications, Sri Satya Sai Institute of Higher Learning (SSSIHL), July 20-22, 2023.

Organized

 

  • Organized an International Panel Discussion on "Third Wave of COVID-19, Vaccine Hopes & Testing Progress: Models and Data Projections" duing the International Symposium on Biomathematics, Ecology and Education and Research, USA, on November 13, 2020
  • Organized One Week Online Faculty Development Programon Implementation of New Education Policy 2020: Role of Faculty Members of HEIs" at Central University of Rajasthan (CURAJ), during November 4-8, 2020
  • Organized an "International Workshop on “Pandemic and Socio Economic Determinants: The Uses, Mathematics and Computations behind the Modeling to inform Decision Makers”, February 8-12, 2021
  • Organized "International Webinar Series on “Applications of Stochastic Models and Queueing Theory" at Central University of Rajasthan (CURAJ), during October 11- November 11, 2021