Persistence and extinction for a stochastic logistic model with infinite delay

Article English OPEN
Chun Lu; Xiaohua Ding;
(2013)
  • Publisher: Texas State University
  • Journal: Electronic Journal of Differential Equations (issn: 1072-6691)
  • Publisher copyright policies & self-archiving
  • Subject: 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 persisten... View more
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