Ahmadjan Muhammadhaji, Azhar Halik, Persistence and extinction of a stochastic delay competitive system under regime switching, Vol. 2019 (2019), Article ID 36, pp. 1-9

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DOI: 10.23952/jnfa.2019.36

Received January 6, 2019; Accepted July 23, 2019; Published August 14, 2019

 

Abstract. A class of two species stochastic delay Lotka-Volterra competitive system under regime switching is proposed and discussed. Some sufficient conditions on the extinction, non-persistence in the mean and weak persistence of the solutions are established. The critical value between weak persistence and extinction is obtained.

 

How to Cite this Article:
Ahmadjan Muhammadhaji, Azhar Halik, Persistence and extinction of a stochastic delay competitive system under regime switching, Journal of Nonlinear Functional Analysis, Vol. 2019 (2019), Article ID 36, pp. 1-9.