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

Jiyeon Suh, Hee-Dae Kwon and Jeehyun Lee

Mathematics and Computers in Simulation (MATCOM), 2024, vol. 217, issue C, 169-187

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.

Keywords: Plasmodium vivax malaria; Differential equations; Multiple delays; Well-posedness; Local stability (search for similar items in EconPapers)
Date: 2024
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Persistent link: https://EconPapers.repec.org/RePEc:eee:matcom:v:217:y:2024:i:c:p:169-187

DOI: 10.1016/j.matcom.2023.10.009

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