A remark on a stochastic logistic model with Lévy jumps

Meng Liu and Chuanzhi Bai

Applied Mathematics and Computation, 2015, vol. 251, issue C, 521-526

Abstract: This note is concerned with a famous stochastic logistic equation with Lévy noises. Sufficient and necessary conditions for extinction and permanence are established. The results reveal that the Lévy noise may change the properties of population dynamics significantly. The results also reveal an important property of the Lévy noise: it is unfavorable for the permanence of the population. Some numerical simulations are introduced to validate the analytical results.

Keywords: Logistic equation; Lévy noise; Extinction; Permanence (search for similar items in EconPapers)
Date: 2015
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Citations: View citations in EconPapers (4)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:apmaco:v:251:y:2015:i:c:p:521-526

DOI: 10.1016/j.amc.2014.11.094

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