Stationary distribution of a stochastic SIS epidemic model with vaccination

Yuguo Lin, Daqing Jiang and Shuai Wang

Physica A: Statistical Mechanics and its Applications, 2014, vol. 394, issue C, 187-197

Abstract: In this paper, we consider a stochastic SIS epidemic model with vaccination. We prove that the densities of the distributions of the solution can converge in L1 to an invariant density under appropriate conditions. Also we find the support of the invariant density.

Keywords: Stationary distribution; Diffusion process; Markov semigroups; Asymptotic stability (search for similar items in EconPapers)
Date: 2014
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Citations: View citations in EconPapers (37)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:394:y:2014:i:c:p:187-197

DOI: 10.1016/j.physa.2013.10.006

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