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

AIMS Mathematics

Zhi Mao¹  Weizhi Xiong¹  Xiangjun Dai¹  Baoping Yan¹  Suli Wang² 

[1] 1 School of Data Science of Tongren University, Tongren, 554300, PR China;2 Tongren Preschool Education College, Tongren, 554300, PR China;

关键词: chemotaxis;    persistence;    extinction;    stochastic perturbations;    polluted environment;   

DOI  :  10.3934/math.2020434

来源: DOAJ

【 摘 要 】

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.

【 授权许可】

Unknown