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
Recommended Citation
Rebaza, Jorge. "Global stability of a networked connectivity model of disease epidemics." Dynamics of Continuous, Discrete and Impulsive Systems: Series B 23 (2016): 239-250.
Journal Title
Dynamics of Continuous, Discrete and Impulsive Systems Series B: Applications and Algorithms