Survival analysis of a stochastic delay single-species system in polluted environment with psychological effect and pulse toxicant input

Abstract

Abstract We propose and study a stochastic delay single-species population system in polluted environment with psychological effect and pulse toxicant input. We establish sufficient conditions for the extinction, nonpersistence in the mean, weak persistence, and strong persistence of the single-species population and obtain the threshold value between extinction and weak persistence. Finally, we confirm the efficiency of the main results by numerical simulations.

Keywords

• Psychological effect
• Persistence
• Extinction
• Polluted environment