Stability analysis of HIV/AIDS epidemic model with nonlinear incidence and treatment

被引：0
作者：
Jianwen Jia
Gailing Qin
机构：
[1] Shanxi Normal University,School of Mathematical and Computer Science
来源：
Advances in Difference Equations | / 2017卷
关键词：
HIV/AIDS epidemic model; nonlinear incidence; basic reproduction number; global stability; geometric approach;
D O I：
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学科分类号：
摘要：
An HIV/AIDS epidemic model with general nonlinear incidence rate and treatment is formulated. The basic reproductive number ℜ0\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$\Re_{0}$\end{document} is obtained by use of the method of the next generating matrix. By carrying out an analysis of the model, we study the stability of the disease-free equilibrium and the unique endemic equilibrium by using the geometric approach for ordinary differential equations. Numerical simulations are given to show the effectiveness of the main results.
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