Displaying similar documents to “Exponential stability of distributed parameter systems governed by symmetric hyperbolic partial differential equations using Lyapunov's second method”

Epidemiological Models and Lyapunov Functions

A. Fall, A. Iggidr, G. Sallet, J. J. Tewa (2010)

Mathematical Modelling of Natural Phenomena

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We give a survey of results on global stability for deterministic compartmental epidemiological models. Using Lyapunov techniques we revisit a classical result, and give a simple proof. By the same methods we also give a new result on differential susceptibility and infectivity models with mass action and an arbitrary number of compartments. These models encompass the so-called differential infectivity and staged progression models. In the two cases we prove that if the basic reproduction...