Dynamics in a stochastic Heroin model with seasonal variation

Junli Liu and Shixue Wang

Physica A: Statistical Mechanics and its Applications, 2019, vol. 532, issue C

Abstract: In this paper, a stochastic non-autonomous heroin model is formulated. We obtain sufficient conditions for extinction and permanence in mean with probability one of the positive solutions. In addition we prove that there exists at least one positive periodic solution under some conditions. Finally, numerical simulations are performed to illustrate our theoretical results.

Keywords: Heroin model; Lyapunov function; Periodic solution; Extinction and permanence in mean (search for similar items in EconPapers)
Date: 2019
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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:532:y:2019:i:c:s0378437119311021

DOI: 10.1016/j.physa.2019.121873

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