Population dynamical behaviors of stochastic logistic system with jumps | Zendy

Ruihua Wu | Zendy; Ke Wang | Zendy

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Population dynamical behaviors of stochastic logistic system with jumps

Author(s) -

Ruihua Wu,

Ke Wang

Publication year - 2014

Publication title -

turkish journal of mathematics

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.454

H-Index - 27

eISSN - 1303-6149

pISSN - 1300-0098

DOI - 10.3906/mat-1307-25

Subject(s) - mathematics , extinction (optical mineralogy) , jump , persistence (discontinuity) , moment (physics) , population , noise (video) , statistical physics , econometrics , computer science , demography , classical mechanics , physics , sociology , paleontology , geotechnical engineering , quantum mechanics , artificial intelligence , engineering , image (mathematics) , biology

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.

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