一类潜伏期和传染期均有传染力的SEIQR模型的稳定性分析  

Stability Analysis of An SEIQR Model with Infection Force in Latent and Inflection Periods

作　　者：于宇梅[1] 衡强[1] 

机构地区：[1]大连交通大学理学院,辽宁大连116028

出　　处：《大连交通大学学报》2012年第6期98-102,共5页Journal of Dalian Jiaotong University

摘　　要：研究了一类潜伏期和传染期均有传染力的SEIQR流行病数学模型,得到疾病绝灭与否的阀值—基本再生数,证明了无病平衡点和地方病平衡点的存在性,并且证明了无病平衡点和地方平衡点的局部稳定性和全局渐近稳定性.A class of latency and the infectious period with infectious force SEIQR epidemic model are studied, and the disease extinction threshold as basic reproductive number is obtained,which is proved existance of the disease-free equilibrium and the endemic equilibrium points, The disease-free equilibrium and the endemic equilibrium local stability and global asymptotic stability are also confirmed.

关 键 词：流行病 全局稳定 局部稳定 基本再生数 平衡点 

分 类 号：R195.1[医药卫生—卫生统计学]