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Travelling Wave Analysis of a Diffusive COVID-19 Model

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  • C. M. Wachira
  • G. O. Lawi
  • L. O. Omondi
  • Tudor Barbu

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.

Suggested Citation

  • C. M. Wachira & G. O. Lawi & L. O. Omondi & Tudor Barbu, 2022. "Travelling Wave Analysis of a Diffusive COVID-19 Model," Journal of Applied Mathematics, Hindawi, vol. 2022, pages 1-7, October.
    • Handle: RePEc:hin:jnljam:6052274
    DOI: 10.1155/2022/6052274
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