Affiliation:
1. School of Mathematical Sciences, Jiangsu University, Zhenjiang, 212013 Jiangsu, P. R. China
Abstract
This paper considers a stochastic single species population model with the Allee effect. We mainly analyze the persistence of population, and obtain the strictly critical conditions of persistence and extinction of population: When [Formula: see text], the population will go extinct in probability; when [Formula: see text], the stochastic model possesses a unique stationary distribution which implies that the population is permanent. The obtained results are finally verified through numerical simulations.
Funder
national natural science foundation of china
natural science foundation of jiangsu province
National Natural Science Foundation of China
Publisher
World Scientific Pub Co Pte Ltd
Subject
General Physics and Astronomy,General Mathematics