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arxiv: 1812.10676 · v1 · pith:GARWEVXRnew · submitted 2018-12-27 · 🧮 math.DS · q-bio.PE

Lyapunov stability of an SIRS epidemic model with varying population

classification 🧮 math.DS q-bio.PE
keywords stabilityepidemicgloballyapunovmodelsirsunderallows
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In this paper we consider an SIRS epidemic model under a general assumption of density-dependent mortality. We prove the global stability of the disease-free equilibrium and propose a Lyapunov function that allows to demonstrate the global stability of the (unique) endemic state under broad conditions.

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