Analysis of an Impulsive One-Predator and Two-Prey System with Stage-Structure and Generalized Functional Response-Reference-Cited by-同舟云学术

Analysis of an Impulsive One-Predator and Two-Prey System with Stage-Structure and Generalized Functional Response

Published:2015 Issue: Volume:2015 Page:1-10
ISSN:1026-0226
Container-title:Discrete Dynamics in Nature and Society
language:en
Short-container-title:Discrete Dynamics in Nature and Society

Author:

Ma Xiangmin¹,Shao Yuanfu¹,Wang Zhen¹,Fang Xianjia¹,Luo Zhenguo²

Affiliation:

1. School of Science, Guilin University of Technology, Guilin, Guangxi 541004, China

2. Department of Mathematics, Hengyang Normal University, Hengyang, Hunan 421008, China

Abstract

An impulsive one-predator and two-prey system with stage-structure and generalized functional response is proposed and analyzed. By reasonable assumption and theoretical analysis, we obtain conditions for the existence and global attractivity of the predator-extinction periodic solution. Sufficient conditions for the permanence of this system are established via impulsive differential comparison theorem. Furthermore, abundant results of numerical simulations are given by choosing two different and concrete functional responses, which indicate that impulsive effects, stage-structure, and functional responses are vital to the dynamical properties of this system. Finally, the biological meanings of the main results and some control strategies are given.

Funder

National Natural Science Foundation of China

Publisher

Hindawi Limited

Subject

Modeling and Simulation

Link

http://downloads.hindawi.com/journals/ddns/2015/864367.pdf

Reference27 articles.

1. Coexistence states for a diffusive one-prey and two-predators model with B–D functional response

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4. A bioeconomic modeling of two-prey and one-predator fishery model with optimal harvesting policy through hybridization approach

5. Stability and bifurcation in a harvested one-predator–two-prey model with delays

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