摘要
研究一类具有隔离项及常数移民的SIQR和SIQS组合流行病模型,得到疾病是否流行的基本再生数,证明了无病平衡点和地方病平衡点的存在性和全局稳定性。
n this paper,the author studies a class of combined SIQR and SIQS epidemic model with Immigrants of constant and quarantine and has obtained the basic reproductive number which determines whether the disease dies or remains.This paper proves the existences and global asymptotical stability of the disease-free equilibrium and the endemic equilibrium.
出处
《合肥师范学院学报》
2012年第6期16-17,共2页
Journal of Hefei Normal University
基金
铜陵学院院级科研项目(2011tlxy30)
铜陵学院人才科研启动基金项目(2010tlxyrc14)
关键词
流行病模型
隔离
基本再生数
全局稳定性
Epidemic model
quarantine
basic reproductive number
global stability
