Analysis of a stochastic logistic model with diffusion

Meng Liu, Meiling Deng and Bo Du

Applied Mathematics and Computation, 2015, vol. 266, issue C, 169-182

Abstract: Taking both white noise and Lévy jump noise into account, a stochastic logistic model with diffusion is proposed and considered. Under some simple assumptions, the almost complete parameters analysis of the model is carried out. In each case it is shown that the population in each patch is either stable in time average or extinct, depending on the parameters of the model, especially, depending on the intensity of the Lévy jump noise. Some simulation figures are introduced to validate the theoretical results.

Keywords: Logistic equation; Random noises; Diffusion (search for similar items in EconPapers)
Date: 2015
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Citations: View citations in EconPapers (6)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:apmaco:v:266:y:2015:i:c:p:169-182

DOI: 10.1016/j.amc.2015.05.050

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