Threshold of a stochastic SIR epidemic model with Lévy jumps

Yanli Zhou and Weiguo Zhang

Physica A: Statistical Mechanics and its Applications, 2016, vol. 446, issue C, 204-216

Abstract: This paper mainly investigates the effect of the Lévy jumps on the dynamics of a stochastic SIR epidemic model. Taking the accumulated jump size into account, a threshold of the considered model has been found out, denoted by R˜0, which can determine the extinction and persistence in mean of the epidemic. More specifically, if R˜0<1, the disease ultimately vanishes from the population; whereas if R˜0>1, the disease persists in the population. Numerical simulations have been carried out to illustrate the theoretical results.

Keywords: Ito formula; Lévy jumps; Threshold; Persistence in mean; Extinction (search for similar items in EconPapers)
Date: 2016
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Citations: View citations in EconPapers (14)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:446:y:2016:i:c:p:204-216

DOI: 10.1016/j.physa.2015.11.023

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