Dynamics of a stochastic delayed SIR epidemic model with vaccination and double diseases driven by Lévy jumps

Qun Liu, Daqing Jiang, Ningzhong Shi and Tasawar Hayat

Physica A: Statistical Mechanics and its Applications, 2018, vol. 492, issue C, 2010-2018

Abstract: In this paper, we study the dynamics of a stochastic delayed SIR epidemic model with vaccination and double diseases which make the research more complex. The environment variability in this paper is characterized by white noise and Lévy noise. We establish sufficient conditions for extinction and persistence in the mean of the two epidemic diseases. It is shown that: (i) time delay and Lévy noise have important effects on the persistence and extinction of epidemic diseases; (ii) two diseases can coexist under certain conditions.

Keywords: Stochastic SIR epidemic model; Double epidemic hypothesis; Extinction; Persistence in the mean; Vaccination; Time delay (search for similar items in EconPapers)
Date: 2018
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Citations: View citations in EconPapers (15)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:492:y:2018:i:c:p:2010-2018

DOI: 10.1016/j.physa.2017.11.116

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