Meng Liu, Ke Wang
Persistence and extinction of a randomized non-autonomous logistic equation is studied. Sufficient conditions for extinction, non-persistence in the mean, weak persistence and stochastic permanence are established. The critical number between weak persistence and extinction is obtained.
Submitted September 4, 2012. Published April 18, 2013.
Math Subject Classifications: 34F05, 92D25, 60H10, 60H20.
Key Words: Logistic model; random perturbation; persistence; extinction.
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| Meng Liu |
School of Mathematical Science, Huaiyin Normal University
Huaian 223300, China
email: email@example.com, Tel +86 0517 84183732
| Ke Wang |
Department of Mathematics, Harbin Institute of Technology
Weihai 264209, China
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