Global stability of a multipatch disease epidemics model

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.

Department(s)

Mathematics

Document Type

Article

DOI

https://doi.org/10.1016/j.chaos.2019.01.020

Keywords

Global stability, Lyapunov functions, Waterborne disease models

Publication Date

3-1-2019

Journal Title

Chaos, Solitons and Fractals

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