A stochastic SIS epidemic model with vaccination

Boqiang Cao, Meijing Shan, Qimin Zhang and Weiming Wang

Physica A: Statistical Mechanics and its Applications, 2017, vol. 486, issue C, 127-143

Abstract: In this paper, we investigate the basic features of an SIS type infectious disease model with varying population size and vaccinations in presence of environment noise. By applying the Markov semigroup theory, we propose a stochastic reproduction number R0s which can be seen as a threshold parameter to utilize in identifying the stochastic extinction and persistence: If R0s<1, under some mild extra conditions, there exists a disease-free absorbing set for the stochastic epidemic model, which implies that disease dies out with probability one; while if R0s>1, under some mild extra conditions, the SDE model has an endemic stationary distribution which results in the stochastic persistence of the infectious disease. The most interesting finding is that large environmental noise can suppress the outbreak of the disease.

Keywords: Epidemic model; Vaccination; Stochastic reproduction number; Markov semigroup; Stationary distribution (search for similar items in EconPapers)
Date: 2017
References: View references in EconPapers View complete reference list from CitEc
Citations: View citations in EconPapers (17)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:486:y:2017:i:c:p:127-143

DOI: 10.1016/j.physa.2017.05.083

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