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arXiv:1508.07128 [math.DS]AbstractReferencesReviewsResources

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

Nguyen Thi Hoai Linh, Ta Hong Quang, Ta Viet Ton

Published 2015-08-28Version 1

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.

Journal: Proceedings of the SICE International Symposium on Control Systems, Tokyo, March 4-7, 2015, 712-4
Categories: math.DS
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