Survival analysis of stochastic single-species population models in polluted environments

Meng Liu and Ke Wang

Ecological Modelling, 2009, vol. 220, issue 9, 1347-1357

Abstract: This paper reports on the behaviors of single species models with and without pollution. We consider three basic models, one is deterministic, and others are stochastic. We first obtained the acute thresholds between local extinction and (stochastic) weakly persistent in the mean for population respectively. Then we study the attainability of population size 0 for the stochastic cases and show that a randomized non-autonomous logistic equation will be stochastic permanent under some conditions. Finally, we introduce some numerical simulink graphics to illustrate our main results.

Keywords: Pollution; Local extinction; (Stochastic) Weakly persistent in the mean; Logistic equation; (Stochastic) Permanent (search for similar items in EconPapers)
Date: 2009
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Citations: View citations in EconPapers (8)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:ecomod:v:220:y:2009:i:9:p:1347-1357

DOI: 10.1016/j.ecolmodel.2009.03.001

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