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arXiv · 1508.07128

Existence and stability of periodic solutions of a Lotka-Volterra system

Nguyen Thi Hoai Linh·Ta Hong Quang·Ta Viet Ton
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Abstract

In this paper, we study a Lotka-Volterra model which contains two prey and one predator with the Beddington-DeAngelis functional responses. First, we establish a set of sufficient conditions for existence of positive periodic solutions. Second, we investigate global asymptotic stability of boundary periodic solutions. Finally, we present some numerical examples.

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Nguyen Thi Hoai Linh, Ta Hong Quang, Ta Viet Ton. 2015-08-28. Existence and stability of periodic solutions of a Lotka-Volterra system. https://arxiv.org/abs/1508.07128

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