Global stability of a multipatch disease epidemics model
A model of waterborne disease epidemics in a multipatch network is studied. The model considers the dynamics of susceptible, asymptomatic and symptomatic individuals, as well as the dynamics of bacteria at interacting nodes or patches. Humans can move between patches carrying the disease to any patch in a region of n communities (patches). Using either matrix or graph-theoretic methods and some combinatorial identities, appropriate Lyapunov functions are constructed to prove global stability properties of both the disease-free and the endemic equilibrium.
Global stability, Lyapunov functions, Waterborne disease models
Rebaza, Jorge. "Global stability of a multipatch disease epidemics model." Chaos, Solitons & Fractals 120 (2019): 56-61.
Chaos, Solitons and Fractals