| 一类传染病模型的分枝 |
| |
| 引用本文： | 俞军.一类传染病模型的分枝[J].南京理工大学学报(自然科学版),1995,19(6):573-576. |
| |
| 作者姓名： | 俞军 |
| |
| 作者单位： | 南京理工大学理学院 |
| |
| 摘 要： | 该文应用动力系统分枝理论的方法，研究了一类具有非线性传染率的流行病模型的Ｈｏｐｆ分枝和同宿分枝，证明了此类模型同宿轨道和两个极限环的存在性，并在参数空间给出了此类模型存在同宿轨道和两个极限环的参数值。
|
| 关 键 词： | 动力系统 极限环 分枝 传染病模型 |
Bifurcation of A Class of Epidemiological Models |
| |
| YuJun.Bifurcation of A Class of Epidemiological Models[J].Journal of Nanjing University of Science and Technology(Nature Science),1995,19(6):573-576. |
| |
| Authors: | YuJun |
| |
| Abstract: | This paper applies methods of bifurcation theory of dynamical systems to aclass of epidemiological models with nonlinear incidence rates.Hopf bifurcations andhomoclinic bifurcations of the models are studied. The existence of a homoclinic orbit andtwo limit cycles of the models are proved,and parameters for the existence of a homoclinicorbit and two limit cycles of the models are given in a two-parameter space. |
| |
| Keywords: | dynamical systems (mathematics) bifurcation theory limit cycles infections diseases nonlinear incidencerate |
| 本文献已被 CNKI 维普 等数据库收录！ |
