Geodesic
Persistence and extinction of a stochastic delay predator-prey model under regime switching
Applications of Mathematics, Tome 59 (2014) no. 3, pp. 331-343.

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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.
DOI : 10.1007/s10492-014-0058-2
Classification : 34B16, 34C25, 34K25, 34K50, 60H10, 60J25, 92D25
Keywords: persistence; extinction; Markov switching; delay; stochastic perturbations 
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     title = {Persistence and extinction of a stochastic delay predator-prey model under regime switching},
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Liu, Zhen Hai; Liu, Qun. Persistence and extinction of a stochastic delay predator-prey model under regime switching. Applications of Mathematics, Tome 59 (2014) no. 3, pp. 331-343. doi : 10.1007/s10492-014-0058-2. http://geodesic.mathdoc.fr/articles/10.1007/s10492-014-0058-2/

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