Dynamics of a networked connectivity model of epidemics

Abstract

A networked connectivity model of waterborne disease epidemics on a site of n communities is studied. Existence and local stability analysis for both the disease-free equilibrium and the endemic equilibrium are studied. Us-ing an appropriate Lyapunov function and Lasalle invariance principle, global asymptotic stability of the disease-free equilibrium point is established. Exis-tence of a transcritical bifurcation at the disease outbreak is also proved. This work extends previous research in networked connectivity models of epidemics.

Department(s)

Mathematics

Document Type

Article

DOI

https://doi.org/10.3934/dcdsb.2016102

Keywords

Dynamical systems, Epidemics, Networked connectivity models

Publication Date

12-1-2016

Journal Title

Discrete and Continuous Dynamical Systems - Series B

Link to Full Text

Share

COinS