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Travelling Wave Analysis of a Diffusive COVID‐19 Model

Author

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

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, 2022. "Travelling Wave Analysis of a Diffusive COVID‐19 Model," Journal of Applied Mathematics, John Wiley & Sons, vol. 2022(1).
    • Handle: RePEc:wly:jnljam:v:2022:y:2022:i:1:n:6052274
    DOI: 10.1155/2022/6052274
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    1. Alberto Aleta & David Martín-Corral & Ana Pastore y Piontti & Marco Ajelli & Maria Litvinova & Matteo Chinazzi & Natalie E. Dean & M. Elizabeth Halloran & Ira M. Longini Jr & Stefano Merler & Alex Pen, 2020. "Modelling the impact of testing, contact tracing and household quarantine on second waves of COVID-19," Nature Human Behaviour, Nature, vol. 4(9), pages 964-971, September.
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