Abstract
Abstract In this paper, we study the global stability and attractivity of the endemic equilibrium for a network-based SIS epidemic model with nonmonotone incidence rate. The model was introduced in Li (2015). We prove that the endemic equilibrium is globally asymptotically stable if α (a parameter of this model) is sufficiently large, and is globally attractive if the transmission rate λ satisfies λ λ c ∈ ( 1 , 2 ] , where λ c is the epidemic threshold. Some numerical experiments are also presented to illustrate the theoretical results.
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