井冈山大学学报（自然科学版）Issue(3)：13-17,5.DOI:10.3969/j.issn.1674-8085.2013.03.004
具有种群Logistic增长及饱和增长率SIR传染病模型的稳定性
GLOBAL STABILITY OF AN SIR EPIDEMIC MODEL WITH SPECIES LOGISTIC GROWTH AND SATURATING INFECT RATE
摘要
Abstract
An SIR epidemic model with species logistic growth and Saturating Infect Rate is investigated. By using the qualitative theory of ordinary differential equations, sufficient conditions are obtained for the global asymptotic stability of each of feasible equilibrium to the proposed model. Furthermore, some numerical simulations are provided to confirm our analytic results.关键词
传染病模型/Logistic/平衡点/全局稳定性Key words
epidemic model/Logistic/equilibrium/global stability分类
数理科学引用本文复制引用
宫兆刚,杨柳..具有种群Logistic增长及饱和增长率SIR传染病模型的稳定性[J].井冈山大学学报（自然科学版）,2013,(3):13-17,5.基金项目
衡阳市科技局计划项目（2012KS15）；湖南省自然科学基金项目（12JJ9001）；湖南省科技计划项目（2012SK3117）；湖南省“十二五”重点建设学科资助项目 （）
