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Stochastic delay population dynamics under regime switching: permanence and asymptotic estimation. (English) Zbl 1329.60201

Summary: This paper is concerned with a delay Lotka-Volterra model under regime switching diffusion in random environment. Permanence and asymptotic estimations of solutions are investigated by virtue of the \(V\)-function technique, the \(M\)-matrix method, and Chebyshev’s inequality. Finally, an example is given to illustrate the main results.

MSC:

60H10 Stochastic ordinary differential equations (aspects of stochastic analysis)
60K37 Processes in random environments
60J60 Diffusion processes
92D25 Population dynamics (general)

References:

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