Article Contents
Article Contents

# 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. Using an appropriate Lyapunov function and Lasalle invariance principle, global asymptotic stability of the disease-free equilibrium point is established. Existence of a transcritical bifurcation at the disease outbreak is also proved. This work extends previous research in networked connectivity models of epidemics.
Mathematics Subject Classification: Primary: 37B25, 92D30; Secondary: 92D25.

 Citation:

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