Global stability of a multipatch disease epidemics model

Jorge Rebaza

Chaos, Solitons & Fractals, 2019, vol. 120, issue C, 56-61

Abstract: A model of waterborne disease epidemics in a multipatch network is studied. The model considers the dynamics of susceptible, asymptomatic and symptomatic individuals, as well as the dynamics of bacteria at interacting nodes or patches. Humans can move between patches carrying the disease to any patch in a region of n communities (patches). Using either matrix or graph-theoretic methods and some combinatorial identities, appropriate Lyapunov functions are constructed to prove global stability properties of both the disease-free and the endemic equilibrium.

Keywords: Waterborne disease models; Global stability; Lyapunov functions (search for similar items in EconPapers)
Date: 2019
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Citations: View citations in EconPapers (1)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:chsofr:v:120:y:2019:i:c:p:56-61

DOI: 10.1016/j.chaos.2019.01.020

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