Travelling Wave Analysis of a Diffusive COVID‐19 Model

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

Journal of Applied Mathematics, 2022, vol. 2022, issue 1

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
References: Add references at CitEc
Citations:

Downloads: (external link)
https://doi.org/10.1155/2022/6052274

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:wly:jnljam:v:2022:y:2022:i:1:n:6052274

Access Statistics for this article

More articles in Journal of Applied Mathematics from John Wiley & Sons
Bibliographic data for series maintained by Wiley Content Delivery ().