Global stability of an SIR model with two susceptible groups on complex networks

Xinpeng Yuan, Yakui Xue and Maoxing Liu

Chaos, Solitons & Fractals, 2014, vol. 59, issue C, 42-50

Abstract: In this paper, an SIR model with two susceptible groups is proposed and analyzed on complex networks, where contacts between human are treated as a scale-free social network. The basic reproduction number R0 is obtained, and it is established that the disease-free equilibrium is locally and globally asymptotically stable if R0≤1, otherwise disease-free equilibrium is unstable and there exists a unique endemic equilibrium, which is globally asymptotically stable. Finally, the numerical simulations verify our conclusions and some discussions of vaccination strategies are done to suggest that a promising way for the control of infectious diseases.

Date: 2014
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Citations: View citations in EconPapers (3)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:chsofr:v:59:y:2014:i:c:p:42-50

DOI: 10.1016/j.chaos.2013.11.010

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