Turkish Journal of Mathematics
Abstract
This paper is concerned with a stochastic logistic model driven by martingales with jumps. In the model, generalized noise and jump noise are taken into account. This model is new and more feasible. The explicit global positive solution of the system is presented, and then sufficient conditions for extinction and persistence are established. The critical value of extinction, nonpersistence in the mean, and weak persistence in the mean are obtained. The path-wise and moment properties are also investigated. Finally, some simulation figures are introduced to illustrate the main results.
DOI
10.3906/mat-1307-25
Keywords
Logistic equation, martingale, extinction, persistence
First Page
935
Last Page
948
Recommended Citation
WU, RUIHUA and WANG, KE
(2014)
"Population dynamical behaviors of stochastic logistic system with jumps,"
Turkish Journal of Mathematics: Vol. 38:
No.
5, Article 14.
https://doi.org/10.3906/mat-1307-25
Available at:
https://journals.tubitak.gov.tr/math/vol38/iss5/14
