Global stability of the steady states of an SIS epidemic reaction–diffusion model

摘要: In this work, we investigate the SIS epidemic reaction–diffusion model under heterogeneous environment studied by Allen et al. in [LJS Allen, BM Bolker, Y. Lou, AL Nevai, Asymptotic profiles of the steady states for an SIS epidemic reaction–diffusion model, Discrete Contin. Dyn. Syst. A 21 (1)(2008) 1–20]. In the two cases:(1) the diffusion rate dS of the susceptible individuals is equal to the diffusion rate dI of the infected individuals;(2) β (x)= rγ (x) for any fixed constant r∈(0,∞), where β (x) and γ (x) respectively represent the rates of disease …