Influence of Human Behavior on COVID-19 Dynamics Based on a Reaction–Diffusion Model

• Autores: Shun Zhi, Hong-Tao Niu, You-Hui Su, Xiaoling Han
• Localización: Qualitative theory of dynamical systems, ISSN 1575-5460, Vol. 22, Nº 3, 2023
• Idioma: inglés
• Enlaces
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• Resumen

  • To investigate the influence of human behavior on the spread of COVID-19, we propose a reaction–diffusion model that incorporates contact rate functions related to human behavior. The basic reproduction number R0 is derived and a threshold-type result on its global dynamics in terms of R0 is established. More precisely, we show that the disease-free equilibrium is globally asymptotically stable if R0 ≤ 1; while there exists a positive stationary solution and the disease is uniformly persistent if R0 > 1. By the numerical simulations of the analytic results, we find that human behavior changes may lower infection levels and reduce the number of exposed and infected humans.

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