Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4627037 | Applied Mathematics and Computation | 2015 | 6 Pages |
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
Meng Liu, Chuanzhi Bai,