Global stability of a multi-group SIS epidemic model with varying total population size

Toshikazu Kuniya and Yoshiaki Muroya

Applied Mathematics and Computation, 2015, vol. 265, issue C, 785-798

Abstract: In this paper, to analyze the effect of the cross patch infection between different groups to the spread of gonorrhea in a community, we establish the complete global dynamics of a multi-group SIS epidemic model with varying total population size by a threshold parameter. In the proof, we use special Lyapunov functional techniques, not only one proposed by the paper [Prüss et al., 2006], but also the other one for a varying total population size with some ideas specified to our model and no longer need a grouping technique derived from the graph theory which is commonly used for the global stability analysis of multi-group epidemic models.

Keywords: Multi-group SIS epidemic model; Varying total population size; Global stability; Lyapunov function (search for similar items in EconPapers)
Date: 2015
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Citations: View citations in EconPapers (2)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:apmaco:v:265:y:2015:i:c:p:785-798

DOI: 10.1016/j.amc.2015.05.124

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