Dynamics of the stochastically perturbed Heroin epidemic model under non-degenerate noises

Yongchang Wei, Qigui Yang and Guangjie Li

Physica A: Statistical Mechanics and its Applications, 2019, vol. 526, issue C

Abstract: This paper is devoted to discern long time dynamics through the stochastically perturbed Heroin epidemic model under non-degenerate noises (SPHE). The SPHE is proved to have a unique global positive solution, and the unique stationary measure of this system under the non-degenerate case is further established as R0>1. Moreover, the extinction of the SPHE is obtained as R0<1.

Keywords: Heroin epidemic model; Non-degenerate noises; Stationary measure; Extinction (search for similar items in EconPapers)
Date: 2019
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Citations: View citations in EconPapers (6)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:526:y:2019:i:c:s0378437119305230

DOI: 10.1016/j.physa.2019.04.150

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