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

Abstract

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.

Keywords

• chemotaxis
• persistence
• extinction
• stochastic perturbations
• polluted environment