节点文献
一类接种的DS-Ⅰ-R传染病模型研究
A vertical transmission DS-Ⅰ-R model with vaccination
【摘要】 研究一类接种的疾病在多个易感群体中传播的DS-I-R传染病模型,得到疾病流行的阈值.运用微分方程定性与稳定性理论分析了无病平衡点的局部稳定与全局渐进稳定性及存在唯一地方病平衡点与其全局渐进稳定性.
【Abstract】 In this paper,we devote to investigate a DS-I-R model with vaccination,a threshold is obtained.Further,by using qualitative and stable theory of differrential equation,sufficient conditions of local and global stability are derived for the disease free equilibrium and endemic equilibrium.
【关键词】 接种;
阈值;
无病平衡点;
全局渐进稳定性;
liyapunov函数;
【Key words】 vaccination; threshold; disease free equilibrium; globally asymptoticakstability; liyapunov function;
【Key words】 vaccination; threshold; disease free equilibrium; globally asymptoticakstability; liyapunov function;
- 【文献出处】 湖北师范学院学报(自然科学版) ,Journal of Hubei Normal University(Natural Science) , 编辑部邮箱 ,2009年02期
- 【分类号】O175
- 【下载频次】52