摘要
讨论了一类具有染病者隔离的非线性传染病模型,确定了疾病传播的阈值,得到了无病平衡点全局渐近稳定、地方病平衡点局部渐近稳定和疾病一致持续存在的条件.
A nonlinear epidemic model with isolation of infectives was discussed.The threshold of disease spread was established.The conditions about the globally asymptotic stability of disease-free equilibrium,the locally asymptotic stability of endemic equilibrium and the uniformly persistent existence of disease were obtained.
出处
《上海理工大学学报》
CAS
北大核心
2009年第5期414-416,468,共4页
Journal of University of Shanghai For Science and Technology
基金
国家自然科学基金资助项目(10871129)
上海市教育委员会基金资助项目(05EZ51)
关键词
传染病模型
平衡点
稳定性
持续性
epidemic model
equilibrium
stability
persistence
