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.
منابع مشابه
Existence and global attractivity of positive periodic solutions of periodic n-species Lotka-Volterra competition systems with several deviating arguments.
In this paper, we study the existence and global attractivity of positive periodic solutions of periodic n-species Lotka-Volterra competition systems. By using the method of coincidence degree and Lyapunov functional, a set of easily verifiable sufficient conditions are derived for the existence of at least one strictly positive (componentwise) periodic solution of periodic n-species Lotka-Volt...
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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