Asymptotic properties of a population model with Allee effects in random environments

Abstract

Abstract In this research, we probe the influences of two common types of stochastic noises in the environment, namely, white noise and telephone noise, and put forward a stochastic differential equation population model with Allee effects. We analyze some asymptotic behaviors of the model, including extermination, persistence and invariant measure. Some vital functions of white noise and telephone noise on these asymptotic behaviors of the model are discovered and numerically expounded.

Keywords

• Allee effect
• Environmental noises
• Stability
• Persistence