Some new results on the Lotka-Volterra system with variable delay. (English) Zbl 1474.92079

Hu, Yangzi; Wu, Fuke; Huang, Chengming

Abstr. Appl. Anal. 2014, Article ID 537674, 10 p. (2014).

Summary: This paper discusses the stochastic Lotka-Volterra system with time-varying delay. The nonexplosion, the boundedness, and the polynomial pathwise growth of the solution are determined once and for all by the same criterion. Moreover, this criterion is constructed by the parameters of the system itself, without any uncertain one. A two-dimensional stochastic delay Lotka-Volterra model is taken as an example to illustrate the effectiveness of our result.

MSC:

92D25	Population dynamics (general)
34K50	Stochastic functional-differential equations
34K60	Qualitative investigation and simulation of models involving functional-differential equations

References:

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