Research article

Survival analysis of single-species population diffusion models with chemotaxis in polluted environment

  • Received: 14 April 2020 Accepted: 17 August 2020 Published: 01 September 2020
  • MSC : 92B05, 92D25, 93E03

  • In this paper, single-species population diffusion models with chemotaxis in polluted environment are proposed and studied. For the deterministic single-species population diffusion model, the sufficient conditions for the extinction and strong persistence of the single-species population are established. For the stochastic single-species population diffusion model. First, we show that system has unique global positive solution. And then, the sufficient conditions for extinction and strongly persistent in the mean of the single-species are obtained. Numerical simulations are used to confirm the efficiency of the main results.

    Citation: Xiangjun Dai, Suli Wang, Baoping Yan, Zhi Mao, Weizhi Xiong. Survival analysis of single-species population diffusion models with chemotaxis in polluted environment[J]. AIMS Mathematics, 2020, 5(6): 6749-6765. doi: 10.3934/math.2020434

    Related Papers:

  • In this paper, single-species population diffusion models with chemotaxis in polluted environment are proposed and studied. For the deterministic single-species population diffusion model, the sufficient conditions for the extinction and strong persistence of the single-species population are established. For the stochastic single-species population diffusion model. First, we show that system has unique global positive solution. And then, the sufficient conditions for extinction and strongly persistent in the mean of the single-species are obtained. Numerical simulations are used to confirm the efficiency of the main results.


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