Stability of an SEIR epidemic model with independent stochastic perturbations

Peter J. Witbooi

Physica A: Statistical Mechanics and its Applications, 2013, vol. 392, issue 20, 4928-4936

Abstract: For an epidemic model of the type mentioned, we prove a theorem on almost sure exponential stability of the disease-free equilibrium. For small values of the diffusion parameter, σ, we describe the stability of the disease free equilibrium point in terms of an appropriate analogue, Rσ, of the basic reproduction number R0 of the deterministic special case. Whenever σ>0 then RσKeywords: SEIR model; Basic reproduction number; Stochastic differential equation; Almost sure exponential stability (search for similar items in EconPapers)
Date: 2013
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Citations: View citations in EconPapers (8)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:392:y:2013:i:20:p:4928-4936

DOI: 10.1016/j.physa.2013.06.025

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