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We develop a dynamic model of an evolving epidemic in a spatially inhomogeneous environment We analyze the model, as a system of reaction–diffusion partial differential equations, to predict the outbreak… Click to show full abstract
We develop a dynamic model of an evolving epidemic in a spatially inhomogeneous environment We analyze the model, as a system of reaction–diffusion partial differential equations, to predict the outbreak and spatio-temporal spread of the disease The model features both an asymptomatic infectious stage and symptomatic infectious stage, with both the asymptomatic and the symptomatic infected populations dispersing through the susceptible population We prove the existence and uniform boundedness of solutions, and investigate their long-time behavior We apply the spatially homogeneous version of the model to the current COVID-19 epidemic in Brazil
Journal Title: Journal of Biological Systems
Year Published: 2020
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