Abstract
This article establishes the global stability of the disease-free equilibrium in a degenerate diffusion system, which involves a degenerate diffusion system incorporating environmental transmission and spatial heterogeneity. This framework is designed to elucidate the transmission dynamics of avian influenza virus among avian, poultry, and human populations. We focus specifically on scenarios where the basic reproductive number equals 1. Our findings are an extension of the research conducted by Zheng et al. in 2022.
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