Travelling Wave Analysis of a Diffusive COVID-19 Model

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.

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APA

Wachira, C (2024). Travelling Wave Analysis of a Diffusive COVID-19 Model. Afribary. Retrieved from https://afribary.com/works/travelling-wave-analysis-of-a-diffusive-covid-19-model

MLA 8th

Wachira, C. "Travelling Wave Analysis of a Diffusive COVID-19 Model" Afribary. Afribary, 04 Jun. 2024, https://afribary.com/works/travelling-wave-analysis-of-a-diffusive-covid-19-model. Accessed 24 Nov. 2024.

MLA7

Wachira, C. . "Travelling Wave Analysis of a Diffusive COVID-19 Model". Afribary, Afribary, 04 Jun. 2024. Web. 24 Nov. 2024. < https://afribary.com/works/travelling-wave-analysis-of-a-diffusive-covid-19-model >.

Chicago

Wachira, C. . "Travelling Wave Analysis of a Diffusive COVID-19 Model" Afribary (2024). Accessed November 24, 2024. https://afribary.com/works/travelling-wave-analysis-of-a-diffusive-covid-19-model

Travelling Wave Analysis of a Diffusive COVID-19 Model

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