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

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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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cs.SD 1

years

2026 1

verdicts

UNVERDICTED 1

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