Dynamical behavior of Lotka-Volterra competition systems: non-autonomous bistable case and the effect of telegraph noise.

Authors: Nguyễn Hữu Dư, Kon Ryusuke, Kazunori Satō, Yasuhiro Takeuchi,

https://doi.org/10.1016/j.cam.2004.02.001

Publisher, magazine: ,

Publication year: 2004

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Abstract

The authors consider the asymptotic behaviour of solutions to a Lotka-Volterra system of two equations with deterministic or random parameters, a model of two competing populations in temporally varying deterministic or random environment. The random environment is determined by a stationary Markov process with two states and all parameters of the system can take only two values depending on the state of the Markov process.

Tags: Lotka-Volterra equation; Competition; Bistable; Telegraph noise