| 一类SEIV模型的研究(英文) |
| |
| 引用本文： | 王霞,陶有德,宋新宇.一类SEIV模型的研究(英文)[J].应用数学,2010,23(4). |
| |
| 作者姓名： | 王霞 陶有德 宋新宇 |
| |
| 作者单位： | 信阳师范学院数学与信息科学学院,河南,信阳,464000 |
| |
| 摘 要： | 本文主要研究一类带有饱和感染率且潜伏期也具有传染性的SEIV模型.运用微分方程中的极限理论和Busenberg-Driessche定理,建立了该模型的全局动力学性质;并且证明了当基本再生数R0≤1时,无病平衡点Q0是全局稳定的,当基本再生数R01时,疾病持续.
|
| 关 键 词： | 传染病模型 饱和感染率 潜伏期 染病期 全局稳定性 |
Studies of a Class of SEIV Models |
| |
| WANG Xia,TAO Youde,SONG Xinyu.Studies of a Class of SEIV Models[J].Mathematica Applicata,2010,23(4). |
| |
| Authors: | WANG Xia TAO Youde SONG Xinyu |
| |
| Abstract: | A new SEIV epidemic model with the saturation incidence rate in both latent period and infected period is investigated.Using the method of limit theory of differential equations and Theorems of Busenberg-Driessche,global dynamics of the model is rigorously established.Moreover,we obtained the disease-free equilibrium Q0 is globally stable if the basic reproduction number R0≤1;and the disease is permanent if the basic reproduction number R0>1. |
| |
| Keywords: | Epidemic model Saturated incidence Latent period Infected period Global stability |
| 本文献已被 CNKI 万方数据 等数据库收录！ |
|
