摘要
研究一类种群有迁移的流行病模型,得到了这类模型的基本再生数R_0,证明了R_0<1无病平衡点是局部渐近稳定的,而当R_0>1时无病平衡点是不稳定的.进一步讨论了疾病持续存在与无病平衡点和地方病平衡点全局稳定的条件.
An epidemic model with population dispersal is studied. The basic reproduction number R0 is obtained for the disease. It is shown that the disease-free equilibrium is locally asymptotically stable if R0 〈 1 and is unstable if R0 〉 1. Furthermore, conditions for the uniform persistence of disease and conditions for global stability of the disease-free equilibrium and the endemic equilibrium are obtained by Liapunov method and by analyzing the property of flow on the boundary, respectively.
出处
《系统科学与数学》
CSCD
北大核心
2007年第4期587-596,共10页
Journal of Systems Science and Mathematical Sciences
基金
国家自然科学基金(10571143)
重庆市教育委员会科学技术研究资助项目
关键词
传染病模型
种群迁移
疾病消失
地方病.
Epidemic model, population dispersal, disappearance of disease, endemic.
