Persistence and non-persistence of a stochastic food chain model with finite delay
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Authors
Haihong Li
- Department of Basic Science, Jilin Construction University, Changchun 130024, China.
Haixia Li
- School of Business, Changchun Guanghua University, Changchun 130024, China.
Fuzhong Cong
- Department of Basic Courses, Air Force Aviation University, Changchun 130022, Jilin, China.
Abstract
In this paper, we study a three species predator-prey time-delay chain model with stochastic perturbation. First, we analyze
that this system has a unique positive solution. Then, we deduce the 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.
Share and Cite
ISRP Style
Haihong Li, Haixia Li, Fuzhong Cong, Persistence and non-persistence of a stochastic food chain model with finite delay, Journal of Nonlinear Sciences and Applications, 10 (2017), no. 6, 3273--3287
AMA Style
Li Haihong, Li Haixia, Cong Fuzhong, Persistence and non-persistence of a stochastic food chain model with finite delay. J. Nonlinear Sci. Appl. (2017); 10(6):3273--3287
Chicago/Turabian Style
Li, Haihong, Li, Haixia, Cong, Fuzhong. "Persistence and non-persistence of a stochastic food chain model with finite delay." Journal of Nonlinear Sciences and Applications, 10, no. 6 (2017): 3273--3287
Keywords
- Stochastic differential equation
- persistent
- non-persistent
- extinction.
MSC
References
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