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
Recommended Citation
Cross, Cristina, Alysse Edwards, Dayna Mercadante, and Jorge Rebaza. "Dynamics of a networked connectivity model of epidemics." Discrete & Continuous Dynamical Systems-B 21, no. 10 (2016): 3379.
Journal Title
Discrete and Continuous Dynamical Systems - Series B
