On the Existence of Positive Periodic Solutions for N-Species Lotka-Volterra Competitive Systems with Distributed Delays and Impulses

نویسندگان

چکیده

In the present paper, we investigate existence of positive periodic solutions for an n-species Lotka-Volterra system with distributed delays and nonlinear impulses. process, convert given into equivalent integral equation. Then, construct appropriate mappings use Krasnoselskii’s fixed point theorem in a cone Banach space to show solution system. Easily verifiable sufficient conditions are established. We discuss our problem two situations: when impulse functions subquadratic they sublinear. The technique deal impulsive term is different from earlier approaches. particular, results improve some previous ones literature. Finally, example presented illustrate feasibility effectiveness results.

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ژورنال

عنوان ژورنال: Journal of Dynamical and Control Systems

سال: 2021

ISSN: ['1079-2724', '1573-8698']

DOI: https://doi.org/10.1007/s10883-021-09581-y