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Survival analysis of a stochastic service–resource mutualism model in a polluted environment with pulse toxicant input

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  • Wang, Hui
  • Pan, Fangmei
  • Liu, Meng

Abstract

In this paper, taking the white noises, Markovian switching and Lévy jumps into account, a stochastic service–resource mutualism model in a polluted environment with pulse toxicant input is proposed and analyzed. The critical value between persistence in the mean and extinction for each species is obtained. Several numerical simulations are also introduced to illustrate the theoretical results. The results reveal that random perturbations, the impulsive period and the toxicant input amount each time have close relationships with the persistence and extinction of the species.

Suggested Citation

  • Wang, Hui & Pan, Fangmei & Liu, Meng, 2019. "Survival analysis of a stochastic service–resource mutualism model in a polluted environment with pulse toxicant input," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 521(C), pages 591-606.
    • Handle: RePEc:eee:phsmap:v:521:y:2019:i:c:p:591-606
    DOI: 10.1016/j.physa.2019.01.108
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    References listed on IDEAS

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    1. Zhang, Xinhong & Jiang, Daqing & Alsaedi, Ahmed & Hayat, Tasawar, 2016. "Periodic solutions and stationary distribution of mutualism models in random environments," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 460(C), pages 270-282.
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    4. Zhao, Yu & Yuan, Sanling, 2017. "Optimal harvesting policy of a stochastic two-species competitive model with Lévy noise in a polluted environment," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 477(C), pages 20-33.
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    6. Yang, Xiaofeng & Jin, Zhen & Xue, Yakui, 2007. "Weak average persistence and extinction of a predator–prey system in a polluted environment with impulsive toxicant input," Chaos, Solitons & Fractals, Elsevier, vol. 31(3), pages 726-735.
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