Behavior of a stochastic SIR epidemic model with saturated incidence and vaccination rules

Yue Zhang, Yang Li, Qingling Zhang and Aihua Li

Physica A: Statistical Mechanics and its Applications, 2018, vol. 501, issue C, 178-187

Abstract: In this paper, the threshold behavior of a susceptible–infected–recovered (SIR) epidemic model with stochastic perturbation is investigated. Firstly, it is obtained that the system has a unique global positive solution with any positive initial value. Random effect may lead to disease extinction under a simple condition. Subsequently, sufficient condition for persistence has been established in the mean of the disease. Finally, some numerical simulations are carried out to confirm the analytical results.

Keywords: Stochastic; Vaccination; Extinction; Persistence in the mean (search for similar items in EconPapers)
Date: 2018
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Citations: View citations in EconPapers (9)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:501:y:2018:i:c:p:178-187

DOI: 10.1016/j.physa.2018.02.191

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