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arxiv: 1508.07128 · v1 · pith:NJY2BRB2new · submitted 2015-08-28 · 🧮 math.DS

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

Nguyen Thi Hoai Linh , Ta Hong Quang , Ta Viet Ton This is my paper
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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