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A model of Plasmodium vivax malaria with delays: Mathematical analysis and numerical simulations

Author

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  • Suh, Jiyeon
  • Kwon, Hee-Dae
  • Lee, Jeehyun

Abstract

A Plasmodium vivax malaria model was formulated using a system of delay differential equations with multiple delays and temperature-dependent parameters to account for the long latency and seasonality in temperate regions. The well-posedness of the system, asymptotic local stability of the disease-free equilibrium, and existence of the endemic equilibrium are shown analytically. Seasonal parameters are incorporated into the numerical simulations to demonstrate the asymptotic behavior with delay and temperature changes.

Suggested Citation

  • Suh, Jiyeon & Kwon, Hee-Dae & Lee, Jeehyun, 2024. "A model of Plasmodium vivax malaria with delays: Mathematical analysis and numerical simulations," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 217(C), pages 169-187.
    • Handle: RePEc:eee:matcom:v:217:y:2024:i:c:p:169-187
    DOI: 10.1016/j.matcom.2023.10.009
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    References listed on IDEAS

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    1. R. Rakkiyappan & V. Preethi Latha & Fathalla A. Rihan, 2019. "A Fractional-Order Model for Zika Virus Infection with Multiple Delays," Complexity, Hindawi, vol. 2019, pages 1-20, November.
    2. Kim, Jung Eun & Choi, Yongin & Lee, Chang Hyeong, 2019. "Effects of climate change on Plasmodium vivax malaria transmission dynamics: A mathematical modeling approach," Applied Mathematics and Computation, Elsevier, vol. 347(C), pages 616-630.
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