| A QUALITATIVE ANALYSIS OF A VACCINATION MODEL OF HIV/AIDS WITH STAGED PROGRESSION AND AMELIORATION |
| |
| 基金项目： | supported by the Young College Teachers Supporting Program of Anhui Province(2005jq1138) |
| |
| 摘 要： | An epidemic vaccination model with multiple stages of infection is presented and analyzed. The model allows infected individuals to move from advanced stages of infection back to less advanced stages of infection. A threshold parameter which determines the local stability of the disease-free equilibrium is found. The existence and stability of endemic equilibrium for 2-dimensional phase space are analyzed. At the same time, we put forward an optimal vaccine efficacy.
|
A QUALITATIVE ANALYSIS OF A VACCINATION MODEL OF HIV/AIDS WITH STAGED PROGRESSION AND AMELIORATION |
| |
| Authors: | Wu Zhengfei Ruan Jiong |
| |
| Institution: | Dept. of Math.;Huainan Normal University;Huainan 232001;Anhui;Institute of Math.;Fudan University;Shanghai 200433;Institute of Math.;Shanghai 200433 |
| |
| Abstract: | An epidemic vaccination model with multiple stages of infection is presented and analyzed. The model allows infected individuals to move from advanced stages of infection back to less advanced stages of infection. A threshold parameter which determines the local stability of the disease-free equilibrium is found. The existence and stability of endemic equilibrium for 2-dimensional phase space are analyzed. At the same time, we put forward an optimal vaccine efficacy. |
| |
| Keywords: | HIV/AIDS stability vaccination amelioration |
| 本文献已被 CNKI 维普 等数据库收录！ |
