Communications in Mathematical Sciences
Volume 10 (2012)
Persistence and extinction of a non-autonomous logistic model with random perturbations
Pages: 977 – 987
This paper is concerned with the persistence and extinction of a randomized nonautonomous logistic system. Sufficient conditions for extinction, non-persistence in the mean, weak persistence and stochastic permanence are established. The critical value between weak persistence, and extinction is obtained. The behaviors of the system in every coefficient case are studied.
non-autonomous logistic model, random perturbations, persistence, extinction
2010 Mathematics Subject Classification
60H10, 60H30, 92D25