Survival analysis of single-species population diffusion models with chemotaxis in polluted environment
| Autor: | Weizhi Xiong, Zhi Mao, Baoping Yan, Suli Wang, Xiangjun Dai |
|---|---|
| Rok vydání: | 2020 |
| Předmět: |
education.field_of_study
Extinction polluted environment extinction stochastic perturbations lcsh:Mathematics General Mathematics Population Chemotaxis persistence lcsh:QA1-939 Polluted environment Single species Quantitative Biology::Populations and Evolution Environmental science chemotaxis Diffusion (business) education Biological system Survival analysis |
| Zdroj: | AIMS Mathematics, Vol 5, Iss 6, Pp 6749-6765 (2020) |
| ISSN: | 2473-6988 |
| Popis: | 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. |
| Databáze: | OpenAIRE |
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