Dynamics of a Predator-Prey System with Mixed Functional Responses-Reference-Cited by-同舟云学术

Dynamics of a Predator-Prey System with Mixed Functional Responses

Published:2014 Issue: Volume:2014 Page:1-10
ISSN:1110-757X
Container-title:Journal of Applied Mathematics
language:en
Short-container-title:Journal of Applied Mathematics

Author:

Baek Hunki¹^ORCID,Kim Dongseok²

Affiliation:

1. Department of Mathematics Education, Catholic University of Daegu, Gyeongsan, Gyeongbuk 712-702, Republic of Korea

2. Department of Mathematics, Kyonggi University, Suwon 443-760, Republic of Korea

Abstract

A predator-prey system with two preys and one predator is considered. Especially, two different types of functional responses, Holling type and Beddington-DeAngelis type, are adopted. First, the boundedness of system is showed. Stabilities analysis of system is investigated via some properties about equilibrium points and stabilities of two subsystems without one of the preys of system. Also, persistence conditions of system are found out and some numerical examples are illustrated to substantiate our theoretical results.

Publisher

Hindawi Limited

Subject

Applied Mathematics

Link

http://downloads.hindawi.com/journals/jam/2014/536019.pdf

Reference21 articles.

1. Instabilities in spatially extended predator–prey systems: Spatio-temporal patterns in the neighborhood of Turing–Hopf bifurcations

2. The Bifurcation Structure of the Holling--Tanner Model for Predator-Prey Interactions Using Two-Timing

3. Effects of Spatial Grouping on the Functional Response of Predators

4. Global Analysis in a Predator-Prey System with Nonmonotonic Functional Response

5. Species extinction and permanence of an impulsively controlled two-prey one-predator system with seasonal effects

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