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Persistence and extinction of a stochastic delay predator-prey model under regime switching

Zhen Hai LiuQun Liu — 2014

Applications of Mathematics

The paper is concerned with a stochastic delay predator-prey model under regime switching. Sufficient conditions for extinction and non-persistence in the mean of the system are established. The threshold between persistence and extinction is also obtained for each population. Some numerical simulations are introduced to support our main results.

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