一类带有治疗及垂直传播的HIV/AIDS模型的稳定性分析（英文）

祖克热古丽·吾斯曼; 夏米西努尔·阿布都热合曼

doi:10.13568/j.cnki.651094.2015.03.009

您当前的位置：

首页 >

文章列表页 >

一类带有治疗及垂直传播的HIV/AIDS模型的稳定性分析（英文）

数理科学 | 更新时间：2026-01-21

- 一类带有治疗及垂直传播的HIV/AIDS模型的稳定性分析（英文）
- 一类带有治疗及垂直传播的HIV/AIDS模型的稳定性分析（英文）
- 新疆大学学报（自然科学版中英文） 2015年32卷第3期页码：297-303
- 作者机构：
  
  新疆大学数学与系统科学学院
- 作者简介：
- 基金信息：
  
  supported by the National Natural Science Foundation of China(11261056,11261058 and 11271312)
- DOI：10.13568/j.cnki.651094.2015.03.009
  中图分类号： O175.21
- 纸质出版：2015
- 稿件说明：
移动端阅览
[1]祖克热古丽·吾斯曼,夏米西努尔·阿布都热合曼.一类带有治疗及垂直传播的HIV/AIDS模型的稳定性分析（英文）[J].新疆大学学报(自然科学版),2015,32(03):297-303.
[1]祖克热古丽·吾斯曼,夏米西努尔·阿布都热合曼.一类带有治疗及垂直传播的HIV/AIDS模型的稳定性分析（英文）[J].新疆大学学报(自然科学版),2015,32(03):297-303. DOI： 10.13568/j.cnki.651094.2015.03.009.

DOI：10.13568/j.cnki.651094.2015.03.009.

摘要

讨论了一类带有治疗及垂直传播的HIV/AIDS模型

找出了模型的无病平衡点以及地方病平衡点并研究了这两平衡点的稳定性.最终得出当基本再生数R0<1时无病平衡是全局渐近稳定的

此时地方病平衡点不存在当R0>1时地方病平衡点全局渐近稳定的.

Abstract

This paper considers an HIV/AIDS epidemic model with treatment and vertical transmission. The equilibrium points of the model are found and their stability is investigated. The model exists two equilibria namely

the disease-free and endemic equilibrium. It is found that if the basic reproduction number R0< 1 the disease free equilibrium is globally asymptotically stable and in such a case the endemic equilibrium does not exist. Where as the unique infected equilibrium is globally asymptotically stable if R0> 1.

关键词

Keywords

references

Cai Liming,Li Xuezhi.Stability analysis of an HIV/AIDS epidemic model with treatment[J].Journal of Computational and Applied Mathematics,2009,229:313-323.

Huo Hai-Feng,Feng Li-Xiang.Global stability for an HIV/AIDS epidemic model with different latent stages and treatment[J].Applied Mathematical Modeling,2013,37:1480-1489.

Elaiw A M.Global properties of a class of HIV models[J].Nonl Anal:Real World Applications,2010,11:2253-2263.

Xiao Dongmei,Ruan Shigui.Global analysis of an epidemic model with nonmonotone incidence rate[J],Mathematical Biosciences,2007,208:419-429.

Gumel A B,Connel C,Mc Cluskey P.Van den Driessche.Mathematical Study of a Staged-Progression HIV Model with Imperfect Vaccine[J].Bulletin of Mathematical Biology,2006,68:2105-2128.

Cai Liming,Fang Bin,Li Xuezhi.A note of a staged progression HIV model with imperfect vaccine[J].Applied Mathematics and Computation,2014,234:412-416.

Connell Mc Cluskey C,Vanden Driessche P.Global Analysis of Two Tuberculosis Models[J].Journal of Dynamics and Differential Equations,2004,16:139-166.

Li Guihua,Wang Wendi,Jin Zhen.Global stability of an S EIR epidemic model with constant immigration[J].Chaos Solutions And Fractals,2006,30:1012-1019.

Alberto d’Onofrio.On pulse vaccination strategy in the S IR epidemic model with vertical transmission[J].Applied Mathematics Letters,2005,18:729-732.

Ram Naresh,Agraj Tripathi,Sandip Omar.Modelling the spread of AIDS epidemic with vertical transmission[J].Applied Mathematics and Computation,2006,178:262-272.

Ram Naresh,Dileep Sharma.An HIV/AIDS model with vertical transmission and time delay[J].World Journal of Modeling and Simulation,2011,7:230-240.

Michael Y L,Hal L Smith,Wang L.Global dynamics of an S EIR epidemic model with vertical transmission[J].SIAM J Appl Math,2001,62:58-69.

马知恩,周义仓,王稳地.传染病动力学的数学建模与研究[M].北京,科学出版社,2004.

Vanden Driessche P,James Watmough.Reproduction numbers and sub-threshold endemic equilibria for compartmental models of disease transmission[J].Mathematical Biosciences,2002,180:29-48.

浏览量

下载量

CSCD

文章被引用时，请邮件提醒。

提交

工具集

关联资源

一类与环境有关的传染病模型的稳定性分析

一类对高危人群实施干预措施的时滞HIV/AIDS传播模型(英文)

具有媒体报道和个人防护意识的多时滞媒介传染病模型Hopf分支分析

媒体诱导迁移率变化的双斑块SIRS传染病模型研究

一类具有媒体报道和环境传播的SEVIQBR传染病模型的动力学分析