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

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arxiv 1508.07128 v1 pith:NJY2BRB2 submitted 2015-08-28 math.DS

Nguyen Thi Hoai Linh , Ta Hong Quang , Ta Viet Ton This is my paper · ORCID
classification math.DS
keywords periodicsolutionsexistencelotka-volterrastabilityasymptoticbeddington-deangelisboundary
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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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Cited by 3 Pith papers

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