Investigation of Ecologically Transmissible Diseases in a Modified Leslie-Gower Model

侯强; 靳祯

您当前的位置：

首页 >

文章列表页 >

Investigation of Ecologically Transmissible Diseases in a Modified Leslie-Gower Model

更新时间：2026-09-14

- Investigation of Ecologically Transmissible Diseases in a Modified Leslie-Gower Model
- 一个基于修正的Leslie-Gower生态传染病模型的研究
- Vol. 33, Issue 2, Pages: 98-101(2012)
- 作者机构：
  
  中北大学理学院
- 作者简介：
- 基金信息：
- DOI：
  CLC：
- Published：2012
- 稿件说明：
移动端阅览
侯强, 靳祯. Investigation of Ecologically Transmissible Diseases in a Modified Leslie-Gower Model[J]. 2012, 33(2): 98-101.
DOI：

侯强, 靳祯. Investigation of Ecologically Transmissible Diseases in a Modified Leslie-Gower Model[J]. 2012, 33(2): 98-101. DOI：

摘要

建立了基于修正的Leslie-Gower生态传染病模型.分析了模型边界平衡点和正平衡点存在和局部渐近稳定性.利用积分不等式和分岔理论的方法

得到了边界平衡点全局渐近稳定的充分条件

发现在无病平衡点附近经历了跨临界分岔.

Abstract

A modified Leslie-Gower model is established with an ecologically transmissible disease.For this model

the existence and local asymptotic stability of the boundary and positive equilibria are analyzed

sufficient conditions of global asymptotic stability of the boundary equilibria are obtained by using integral inequality

and the behavior of bifurcation of the free-disease equilibrum is also found by using bifurcation theory.

关键词

Keywords

references

Leslie P H.Some funther notes on the use of matricesin population mathematies[J].Biometrika,1948,35(1):213-245.

Aziz-Alaoui M A,Okiye M D.Boundedness andglobal stability for a predator-prey model withmodified Leslie-Gower and HollingtypeⅡschemes[J].Appl.Math.Lett.,2003,16:1069-1075.

Kribs-Zaleta C M.Structured models for heterosexualdisease transmission[J].Math.Biosci.,1999,160(1):83.

Hsu Szebi,Huang Tzywei.Global stability for a classof predator-prey systems[J].SIAM,1995,55(3):763-783.

Sotomayor J.Generic Bifurcations of DynamicalSystems[M].New York:Academic Press,1973.

Views

151

下载量

CSCD

Alert me when the article has been cited

提交

Tools

Publicity Resources

含无畸变传输线电磁系统中的非线性现象分析

一类含有n+m-种群的Lotka-Volterra系统的持久性和稳定性

具有垂直传染和脉冲常量接种的SIR模型

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

Nonlinear Dynamical Behaviors of Rotor System with Disc of Changing Mass

Related Author

王玲桃

李洋

董海魏

孟丽君

张慧敏

宋扬

谭远顺

聂玉稳

Related Institution

山西大学工程学院电子信息工程系

重庆大学动力工程学院

山西大学工程学院电力工程系

山西大学数学科学学院

重庆交通大学理学院

⁰