Travelling Wave Analysis of a Diffusive COVID-19 Model

C. M. Wachira, G. O. Lawi, L. O. Omondi and Tudor Barbu

Journal of Applied Mathematics, 2022, vol. 2022, 1-7

Abstract: In this paper, a mathematical model based on a system of nonlinear parabolic partial differential equations is developed to investigate the effect of human mobility on the dynamics of coronavirus 2019 (COVID-19) disease. Positivity and boundedness of the model solutions are shown. The existence of the disease-free, the endemic equilibria, and the travelling wave solutions of the model are shown. From the numerical analysis, it is shown that human mobility plays a crucial role in the disease transmission. Therefore, interventions that affect diffusion (human mobility), such as lock-down, travel restrictions, and cessation of movement, may play a significant role in controlling and preventing the spread of COVID-19.

Date: 2022
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnljam:6052274

DOI: 10.1155/2022/6052274

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