Three kinds of TVS in a SIR epidemic model with saturated infectious force and vertical transmission |
| |
Authors: | Shaoying Liu Yongzhen Pei Changguo Li Lansun Chen |
| |
Institution: | 1. School of Science, Tianjin Polytechnic University, Tianjin 3001610 China;2. Department of Basic Science, Institute of Military Traffic, Tianjin 300161, China;3. Department of Applied Mathematics, Dalian University of Technology, 116023, China |
| |
Abstract: | Three different vaccination and treatment strategies in the SIR epidemic model with saturated infectious force and vertical transmission are analyzed. The dynamics of epidemic models are globally investigated by using Floquet theory and comparison theorem of impulsive differential equation. Thresholds are identified and global stability results are proved. For every treatment and vaccination strategy, the disease-free periodic solution of impulsive system has been obtained and is found to be globally asymptotically stable when the basic reproduction number is less than one, equivalently the cure rate is larger than the threshold value, whereas the disease is persistent when the basic reproduction number is larger than one. These results indicate that a large cure rate will lead to the eradication of a disease. |
| |
Keywords: | Pulse Vaccination Treatment Global stability Persistent |
本文献已被 ScienceDirect 等数据库收录! |
|