Title

Global stability of a networked connectivity model of disease epidemics

Abstract

The dynamics of a networked connectivity model of disease epidemics on a site of n communities is studied. Besides existence and local stability analysis for both the disease-free equilibrium and the endemic equilibrium, a detailed global stability analysis of both equilibria is provided. Lyapunov functions are constructed using either matrixtheoretic or graph-theoretic methods and combinatorial identities.

Department(s)

Mathematics

Document Type

Article

Keywords

Dynamical systems, Epidemics, Lyapunov function, Networked connectivity models

Publication Date

1-1-2016

Journal Title

Dynamics of Continuous, Discrete and Impulsive Systems Series B: Applications and Algorithms

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