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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 ratio...
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