Dynamics of a networked connectivity model of epidemics
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.
Dynamical systems, Epidemics, Networked connectivity models
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.
Discrete and Continuous Dynamical Systems - Series B