Existence, Stationary Distribution, and Extinction of Predator-Prey System of Prey Dispersal with Stochastic Perturbation
Keyword(s):
We consider a predator-prey model in which the preys disperse amongnpatches (n≥2) with stochastic perturbation. We show that there is a unique positive solution and find out the sufficient conditions for the extinction to the system with any given positive initial value. In addition, we investigate that there exists a stationary distribution for the system and it has ergodic property. Finally, we illustrate the dynamic behavior of the system withn=2via numerical simulation.
2014 ◽
Vol 25
(11)
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pp. 1450105
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2014 ◽
Vol 07
(03)
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pp. 1450026
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2009 ◽
Vol 02
(04)
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pp. 419-442
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2013 ◽
Vol 805-806
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pp. 1957-1961