Permanence and Extinction for a Leslie-Gower Model with Holling Ⅲ Response Function

宋扬; 谭远顺; 聂玉稳

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Permanence and Extinction for a Leslie-Gower Model with Holling Ⅲ Response Function

更新时间：2026-09-14

- Permanence and Extinction for a Leslie-Gower Model with Holling Ⅲ Response Function
- 一类Holling Ⅲ型Leslie-Gower模型的持久性与灭绝性
- Vol. 33, Issue 6, Pages: 623-626(2012)
- 作者机构：
  
  1. 重庆交通大学理学院
  2. 重庆外国语学校
- 作者简介：
- 基金信息：
- DOI：
  CLC：
- Published：2012
- 稿件说明：
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宋扬, 谭远顺, 聂玉稳. Permanence and Extinction for a Leslie-Gower Model with Holling Ⅲ Response Function[J]. 2012, 33(6): 623-626.
DOI：

宋扬, 谭远顺, 聂玉稳. Permanence and Extinction for a Leslie-Gower Model with Holling Ⅲ Response Function[J]. 2012, 33(6): 623-626. DOI：

摘要

讨论了一类食饵具有Holling Ⅲ功能反应的Leslie-Gower模型的动力学行为

应用脉冲微分方程的比较原理及其现代分析方法

得到了系统灭绝和永久持久性的阈值条件

推广了只有一次脉冲和没有功能性反应时的情形.

Abstract

The dynamics of a Leslie-Gower model with Holling Ⅲ response function was studied

using comparing theorem of impulsive differential equations and modern analysis methods

the threshold of the permanence and extinction for this system was obtained and extended the case that had only one impulsive perturbation and the case which had no response function.

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references

Aziz-Alaoui M A.Study of a Leslie-Gower-type tri-trophic population model[J].Chaos Solitons Fract,2002,14:1275-1293.

Gakkhar S,Ingh B.Complex dynamic behavior in afood web consisting of two preys and a predator[J].Chaos Solitons and Fract,2005,24:789-801.

Holling C S.The functional response of predator toprey density and its role in mimicry and populationregulation[J].Mem.Ent.Sec.Can.,1965,45:5.

Liu Bing,Teng Zhidong,Chen Lansun.Analysis of apredator-prey model with HollingⅡfunctionalresponse concerning impulsive control strategy[J].Journal of Computational and Applied Mathematics,2006,193(1):347-362.

Chen Yiping,Liu Zhijun,Haque M N.Analysis of aLeslie-Gower-type prey-predator model with periodicimpulsive perturbations[J].Commun.Nonlinear Sci.Numer.Simulat.,2009,14(8):3412-3423.

Tan Yuanshun.Dynamics of the oscillative solutionfor a nonlinear ecosystem with impulsive perturbation[J].Applied Mechanics and Materials,2012,5:471-476.

焦建军,蔡绍洪.具脉冲出生单种群模型的脉冲收获阈值分析[J].生物数学学报,2010(4):675-679.Jiao Jianjun,Cai Shaohong.Impulsive harvestingthreshold analysis of a single population model withbirth pulse[J].Journal of Biomathematics,2010(4):675-679.(in Chinese)

向中义.一类具有阶段结构和脉冲效应的捕食者-食饵模型的动力学分析[J].生物数学学报,2010(2):257-266.Xiang Zhongyi.Dynamic analysis of a stage-structuredpredator-prey modes with time and impulsive effect[J].Journal of Biomathematics,2010(2):257-266.(in Chinese)

Sarwardi S,Haque M N,Ezio V.A Leslie-GowerHolling-typeⅡecoepidemic model[J].Journal ofApplied Mathematics Computing,2011,35:263-280.

Thieme H R,Tridane A,Kuang Y.An epidemicmodel with post-contact prophilaxis of distributedlengthⅡ.Stability and oscillations if treatment isfully effective[J].Math.Model.Nat.Phenom.,2008,3(7):267-293.

Haque M N,Venturino E.Effect of parasiticinfection in the Leslie-Gower predator-prey model[J].Biol.Syst.,2008,16:425-444.

Jin Zhen,Haque M N.Global stability analysis of anecoepidemiological model of the Salton Sea[J].Biol.Syst.,2006,14(3):373-385.

Wang W W,Zhao X Q.Anonlocal andtime-delayedreaction-diffusionmodel of Dengue transmission[J].SIAM J.Appl.Math.,2011,71:147-168.

Hillen T,Painter K.Global existence for a parabolicchemotaxis model with prevention of overcrowding[J].Advin.Appl.Math.,2001,26:280-310.

Bendahmane M.Analysis of a reaction-diffusionsystem modeling predator-prey with prey-taxis[J].Net.Hetero.Med.,2008,3:863-879.

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