Global stability of an SIR model with differential infectivity on complex networks

Xinpeng Yuan, Fang Wang, Yakui Xue and Maoxing Liu

Physica A: Statistical Mechanics and its Applications, 2018, vol. 499, issue C, 443-456

Abstract: In this paper, an SIR model with birth and death on complex networks is analyzed, where infected individuals are divided into m groups according to their infection and contact between human is treated as a scale-free social network. We obtain the basic reproduction number R0 as well as the effects of various immunization schemes. The results indicate that the disease-free equilibrium is locally and globally asymptotically stable in some conditions, otherwise disease-free equilibrium is unstable and exists an unique endemic equilibrium that is globally asymptotically stable. Our theoretical results are confirmed by numerical simulations and a promising way for infectious diseases control is suggested.

Keywords: Differential infectivity; SIR model; Complex networks; Global stability (search for similar items in EconPapers)
Date: 2018
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Citations: View citations in EconPapers (4)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:499:y:2018:i:c:p:443-456

DOI: 10.1016/j.physa.2018.02.065

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