Meng Liu, Ke Wang
Abstract:
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.
Show me the PDF file (316 KB), TEX file, and other files for this article.
Meng Liu School of Mathematical Science, Huaiyin Normal University Huaian 223300, China email: liumeng0557@sina.com, Tel +86 0517 84183732 | |
Ke Wang Department of Mathematics, Harbin Institute of Technology Weihai 264209, China email: w_k@hotmail.com |
Return to the EJDE web page