| 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].井冈山大学自然版,2013,(3):13-17 |
| 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 |
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| DOI： |
| 中文关键词: 传染病模型 Logistic 平衡点 全局稳定性 |
| 英文关键词: epidemic model Logistic equilibrium global stability |
| 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 |
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| 中文摘要: |
| 研究一类具有种群Logistic增长及饱和增长率SIR传染病模型,应用微分方程定性理论,分别得到了该系统的无病平衡点、地方平衡点全局渐近稳定的充分条件,并进行了数值模拟。 |
| 英文摘要: |
| 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. |
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