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

Author

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  • Wei, Yongchang
  • Yang, Qigui
  • Li, Guangjie

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.

Suggested Citation

  • Wei, Yongchang & Yang, Qigui & Li, Guangjie, 2019. "Dynamics of the stochastically perturbed Heroin epidemic model under non-degenerate noises," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 526(C).
    • Handle: RePEc:eee:phsmap:v:526:y:2019:i:c:s0378437119305230
    DOI: 10.1016/j.physa.2019.04.150
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    Citations

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    Cited by:

    1. Li, Xuhui & Agarwal, Ravi P. & Gómez-Aguilar, J.F. & Badshah, Qaisar & Rahman, Ghaus ur, 2022. "Threshold dynamics: Formulation, stability & sensitivity analysis of co-abuse model of heroin and smoking," Chaos, Solitons & Fractals, Elsevier, vol. 161(C).
    2. Zizhen Zhang & Fangfang Yang & Wanjun Xia, 2019. "Hopf Bifurcation Analysis of a Synthetic Drug Transmission Model with Time Delays," Complexity, Hindawi, vol. 2019, pages 1-17, November.
    3. Sharma, Anupama, 2020. "Quantifying the effect of demographic stochasticity on the smoking epidemic in the presence of economic stimulus," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 549(C).
    4. Haoxiang Tang & Mingtao Li & Xiangyu Yan & Zuhong Lu & Zhongwei Jia, 2021. "Modeling the Dynamics of Drug Spreading in China," IJERPH, MDPI, vol. 18(1), pages 1-25, January.
    5. Wei Wang & Sifen Lu & Haoxiang Tang & Biao Wang & Caiping Sun & Pai Zheng & Yi Bai & Zuhong Lu & Yulin Kang, 2022. "A Scoping Review of Drug Epidemic Models," IJERPH, MDPI, vol. 19(4), pages 1-18, February.
    6. Wang, Zhixiao & Rui, Xiaobin & Yuan, Guan & Cui, Jingjing & Hadzibeganovic, Tarik, 2021. "Endemic information-contagion outbreaks in complex networks with potential spreaders based recurrent-state transmission dynamics," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 573(C).

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