Global stability of an SIS epidemic model with feedback mechanism on networks

*Correspondence: [email protected] 1College of Computer Science and Technology, Jilin University, Changchun, China 2College of Computer Science, Dalian Nationalities University, Dalian, China Full list of author information is available at the end of the article Abstract We study the global stability of endemic equilibrium of an SIS epidemic model with feedback mechanism on networks. The model was proposed by J. Zhang and J. Sun (Physica A 394:24–32, 2014), who obtained the local asymptotic stability of endemic equilibrium. Our main purpose is to show that if the feedback parameter is sufficiently large or if the basic reproductive number belongs to the interval (1, 2], then the endemic equilibrium is globally asymptotically stable. We also present numerical simulations to illustrate the theoretical results.