Persistence and extinction for a stochastic logistic model with infinite delay
- Publisher: Texas State University
Electronic Journal of Differential Equations
White noise | extinction | delay | Mathematics | persistence | QA1-939
arxiv: Quantitative Biology::Populations and Evolution
This article, studies a stochastic logistic model with infinite
delay. Using a phase space, we establish sufficient conditions for
the extinction, nonpersistence in the mean, weak persistence, and
stochastic permanence. A threshold between weak persistence and
extinction is obtained. Our results state that different types of
environmental noises have different effects on the persistence and
extinction, and that the delay has no impact on the persistence
and extinction for the stochastic model in the autonomous case.
Numerical simulations illustrate the theoretical results.