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Dynamics in a stochastic Heroin model with seasonal variation

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  • Liu, Junli
  • Wang, Shixue

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.

Suggested Citation

  • Liu, Junli & Wang, Shixue, 2019. "Dynamics in a stochastic Heroin model with seasonal variation," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 532(C).
    • Handle: RePEc:eee:phsmap:v:532:y:2019:i:c:s0378437119311021
    DOI: 10.1016/j.physa.2019.121873
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    Cited by:

    1. Zhan, Jinxiang & Wei, Yongchang, 2024. "Dynamical behavior of a stochastic non-autonomous distributed delay heroin epidemic model with regime-switching," Chaos, Solitons & Fractals, Elsevier, vol. 184(C).

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