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| 一类传染病模型 | |
| 引用本文： | 冯光庭,梅汇海,冯栋栋,张兴安.一类传染病模型[J].应用数学,2011,24(3). |
| 作者姓名： | 冯光庭 梅汇海 冯栋栋 张兴安 |
| 作者单位： | 1. 湖北第二师范学院数学与数量经济学院,湖北武汉,430205 2. 韩国国立忠南大学数学系,韩国大田,305764 3. 华中师范大学数学与统计学学院,湖北武汉,430079 |
| 基金项目： | 国家自然科学基金资助项目(10771081); 湖北省教育厅科学技术重点研究项目(D20113005) |
| 摘 要： | 利用稳定性理论和齐次向量场的性质对一类传染病模型的一般情形进行研究,通过对R2中相应系统的平衡点的存在性和稳定性的分析,得出该类传染病持续生存和最终消亡的阈值,而且它与治愈者的死亡率以及治愈者向易感者的转化率无关. |
| 关 键 词： | 传染病 齐次向量场 平衡点 稳定性 阈值 |
An Epidemiological Model |
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| FENG Guangting , MEI Huihai , FENG Dongdong , ZHANG Xing'an.An Epidemiological Model[J].Mathematica Applicata,2011,24(3). | |
| Authors: | FENG Guangting MEI Huihai FENG Dongdong ZHANG Xing'an |
| Institution: | FENG Guangting1,MEI Huihai1,FENG Dongdong2,ZHANG Xing'an3(1.School of Mathematics and Quantitative Economics,Hubei University of Education,Wuhan430205,China,2.Department of Mathematics,Chungnam National University,Daejeon305764,Korea,3.School of Mathematics and Statistics,Central China Normal University,Wuhan430079,China) |
| Abstract: | In this paper,we propose an epidemiological model in a normal situation.This model is establishedinthe formof differential equations.The dynamical behavior of the model is studied by using the method of homogeneous vector fields.By analyzing the existence and stability of the system' s equilibrium point,we get the threshold of disease spread and death.The results do not relate with the ratio of death of recovery and ratio of transitions of recovery to susceptible persons. |
| Keywords: | Infectious disease Homogeneous vector field Equilibrium point Stability Threshold |
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