Abstract
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 is derived and a threshold-type result on its global dynamics in terms of is established. More precisely, we show that the disease-free equilibrium is globally asymptotically stable if ; while there exists a positive stationary solution and the disease is uniformly persistent if . 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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