Analysis of competitive infectious diseases with multiple strains

Jian-Qin Qiao and Li Li

Chaos, Solitons & Fractals, 2017, vol. 104, issue C, 215-221

Abstract: As we all known, there are many kinds of strains for a disease. However, the transmission dynamics of such disease is far from being well understood. In this paper, we established a SIS multi-strain model on scale-free network and the dynamics of multi-strain disease was studied by mean-field method. It is proved that the disease-free equilibrium is globally asymptotically stable when the basic reproduction number R0 < 1. It is proved that the equilibrium point with the largest basic reproduction number is globally stable. Our results indicate that competitive exclusion principle also holds for the disease with multiple strains.

Keywords: Three strains; Competitive exclusion principle; Global stability; Comparison theorem (search for similar items in EconPapers)
Date: 2017
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Citations: View citations in EconPapers (1)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:chsofr:v:104:y:2017:i:c:p:215-221

DOI: 10.1016/j.chaos.2017.08.017

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