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Permanence and Stability of Solutions for Almost Periodic Prey–Predator Model with Impulsive Effects

Permanence and Stability of Solutions for Almost Periodic Prey–Predator Model with Impulsive Effects This paper is concerned with a class of impulsive prey–predator model with Beddington–DeAngelis functional response. By fixed point theorem and constructing a Lyapunov function, some sufficient conditions are established to ensure the permanence and uniformly asymptotic stability of positive almost periodic solutions for the concerned system. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Qualitative Theory of Dynamical Systems Springer Journals

Permanence and Stability of Solutions for Almost Periodic Prey–Predator Model with Impulsive Effects

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Publisher
Springer Journals
Copyright
Copyright © 2017 by Springer International Publishing AG
Subject
Mathematics; Mathematics, general; Dynamical Systems and Ergodic Theory; Difference and Functional Equations
ISSN
1575-5460
eISSN
1662-3592
DOI
10.1007/s12346-017-0247-y
Publisher site
See Article on Publisher Site

Abstract

This paper is concerned with a class of impulsive prey–predator model with Beddington–DeAngelis functional response. By fixed point theorem and constructing a Lyapunov function, some sufficient conditions are established to ensure the permanence and uniformly asymptotic stability of positive almost periodic solutions for the concerned system.

Journal

Qualitative Theory of Dynamical Systems – Springer Journals

Published: Jul 10, 2017

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