1. Travelling Wave Analysis of a Diffusive COVID-19 Model.
- Author
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Wachira, C. M., Lawi, G. O., and Omondi, L. O.
- Subjects
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COVID-19 , *WAVE analysis , *PARABOLIC differential equations , *SCATTERING (Mathematics) , *TRAVEL restrictions , *INFECTIOUS disease transmission - 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. [ABSTRACT FROM AUTHOR]
- Published
- 2022
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