The Stability of Solutions for a Fractional Predator-Prey System-Reference-Cited by-同舟云学术

The Stability of Solutions for a Fractional Predator-Prey System

Published:2014 Issue: Volume:2014 Page:1-7
ISSN:1085-3375
Container-title:Abstract and Applied Analysis
language:en
Short-container-title:Abstract and Applied Analysis

Author:

Guo Yingjia¹²

Affiliation:

1. School of Mathematics, Jilin University, Changchun 130012, China

2. Department of Mathematics, Jilin Agriculture Science and Technology College, Jilin 132101, China

Abstract

We study a class of fractional predator-prey systems with Holling II functional response. A unique positive solution of this system is obtained. In order to prove the asymptotical stability of positive equilibrium for this system, we study the Lyapunov stability theory of a fractional system.

Publisher

Hindawi Limited

Subject

Applied Mathematics,Analysis

Link

http://downloads.hindawi.com/journals/aaa/2014/124145.pdf

Reference19 articles.

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2. The Components of Predation as Revealed by a Study of Small-Mammal Predation of the European Pine Sawfly

3. The Asymptotic Behavior of a Stochastic Predator-Prey System with Holling II Functional Response

4. Complex dynamics of Holling type II Lotka–Volterra predator–prey system with impulsive perturbations on the predator☆

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