Persistence and Nonpersistence of a Food Chain Model with Stochastic Perturbation | Zendy

Haihong Li | Zendy; Fuzhong Cong | Zendy; Daqing Jiang | Zendy; Hongtu Hua | Zendy

AI Assistant Blog Pricing

Home ZAIA Blog

Open Access

Persistence and Nonpersistence of a Food Chain Model with Stochastic Perturbation

Author(s) -

Haihong Li,

Fuzhong Cong,

Daqing Jiang,

Hongtu Hua

Publication year - 2013

Publication title -

abstract and applied analysis

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.228

H-Index - 56

eISSN - 1687-0409

pISSN - 1085-3375

DOI - 10.1155/2013/125089

Subject(s) - perturbation (astronomy) , bounded function , mathematics , persistence (discontinuity) , moment (physics) , extinction (optical mineralogy) , mathematical analysis , biology , physics , classical mechanics , geotechnical engineering , quantum mechanics , engineering , paleontology

We analyze a three species predator-prey chain model with stochastic perturbation. First, we show that this system has a unique positive solution and its pth moment is bounded. Then, we deduce conditions that the system is persistent in time average. After that, conditions for the system going to be extinction in probability are established. At last, numerical simulations are carried out to support our results

The content you want is available to Zendy users.

Already have an account? Click here to sign in.

Having issues? You can contact us here

Accelerating Research