Publications

Peer-Reviewed Publications

2026

16. Sarita Bugalia, Sandeep Kumar, Jai Prakash Tripathi, Maia Martcheva, Dynamic interplay of Allee effect and harvesting in a diseased amensalism model: Unraveling ecological complexity, Mathematics and Computers in Simulation, 245, 2026, 295–324. DOI: https://doi.org/10.1016/j.matcom.2026.01.021

2024

15. Sarita Bugalia, Jai Prakash Tripathi, Hao Wang, Mutations make pandemics worse or better: modeling SARS-CoV-2 variants and imperfect vaccination, Journal of Mathematical Biology, 88(4), 2024, 45. DOI: https://doi.org/10.1007/s00285-024-02068-x

2023

14. Shashank Goel, Sumit Kaur Bhatia, Jai Prakash Tripathi, Sarita Bugalia, Mansi Rana, Vijay Pal Bajiya, SIRC epidemic model with cross-immunity and multiple time delays, Journal of Mathematical Biology, 87(3), 2023, 42. DOI: https://doi.org/10.1007/s00285-023-01974-w

13. Sarita Bugalia, Jai Prakash Tripathi, Syed Abbas, Hao Wang, General theory for significance of culling in two-way disease transmission between humans and animals, Journal of Biological Systems, 31(3), 2023, 791–832. DOI: https://doi.org/10.1142/S0218339023500286

12. Sarita Bugalia, Jai Prakash Tripathi, Assessing potential insights of an imperfect testing strategy: Parameter estimation and practical identifiability using early COVID-19 data in India, Communications in Nonlinear Science and Numerical Simulation, 123, 2023, 107280. DOI: https://doi.org/10.1016/j.cnsns.2023.107280

11. Sarita Bugalia, Jai Prakash Tripathi, Hao Wang, Estimating the time-dependent effective reproduction number and vaccination rate for COVID-19 in the USA and India, Mathematical Biosciences and Engineering, 20(3), 2023, 4673–4689. DOI: https://doi.org/10.3934/mbe.2023216

2022

10. Vijay Pal Bajiya, Sarita Bugalia, Jai Prakash Tripathi, Maia Martcheva, Deciphering the transmission dynamics of COVID-19 in India: optimal control and cost effective analysis, Journal of Biological Dynamics, 16(1), 2022, 665–712. DOI: https://doi.org/10.1080/17513758.2022.2116493

9. Jai Prakash Tripathi, Sarita Bugalia, Debaldev Jana, Nisha Gupta, Vandana Tiwari, Jing Li, Gui-Quan Sun, Modeling the cost of anti-predator strategy in a predator-prey system: the roles of indirect effect, Mathematical Methods in the Applied Sciences, 45(8), 2022, 4365–4396. DOI: https://doi.org/10.1002/mma.8044

2021

8. Jai Prakash Tripathi, Krishna Pada Das, 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, 939–968.

7. Udai Kumar, Partha Sarathi Mandal, Jai Prakash Tripathi, Vijay Pal Bajiya, Sarita Bugalia, SIRS epidemiological model with ratio-dependent incidence: Influence of preventive vaccination and treatment control strategies on disease dynamics, Mathematical Methods in the Applied Sciences, 44(18), 2021, 14703–14732. DOI: https://doi.org/10.1002/mma.7737

6. 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), 2021, 5865–5920. DOI: https://doi.org/10.3934/mbe.2021295

5. Jai Prakash Tripathi, Sarita Bugalia, Kavita Burdak, Syed Abbas, Dynamical analysis and effects of law enforcement in a social interaction model, Physica A: Statistical Mechanics and its Applications, 567, 2021, 125725. DOI: https://doi.org/10.1016/j.physa.2020.125725

2020

4. 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), 2020, 113143. DOI: https://doi.org/10.1063/5.0021353

3. 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), 2020, e12287. DOI: https://doi.org/10.1111/nrm.12287

2. 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), 2020, 5961–5986. DOI: https://doi.org/10.3934/mbe.2020318

1. Zizhen Zhang, Soumen Kundu, Jai Prakash Tripathi, Sarita Bugalia, Stability and Hopf bifurcation analysis of an SVEIR epidemic model with vaccination and multiple time delays, Chaos, Solitons & Fractals, 131, 2020, 109483. DOI: https://doi.org/10.1016/j.chaos.2019.109483

Submitted Manuscripts and Preprints

3. Sarita Bugalia, Manoj Kumar, Jai Prakash Tripathi, Non-smooth dynamics of a delayed Filippov epidemic model with threshold-based treatment and dynamic hospital-bed capacity, Submitted, 2026.

2. Sarita Bugalia, Hao Wang, Swati Tyagi, Jai Prakash Tripathi, Liliana C. M. Salvador, Relapse and delay-induced dynamics in human-to-human Nipah virus transmission: a mathematical modeling study, Submitted, 2026. Preprint DOI: https://doi.org/10.64898/2026.03.02.26347485

1. Esther G. Palmer, Jared C. Smith, Sarita Bugalia, Liliana C. M. Salvador, Nikki W. Shariat, Spatiotemporal characterization of Salmonella in surface water proximal to livestock production, Under review in Applied and Environmental Microbiology, 2026.