Article ID Journal Published Year Pages File Type
4627037 Applied Mathematics and Computation 2015 6 Pages PDF
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.
Related Topics
Physical Sciences and Engineering Mathematics Applied Mathematics
Authors
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