SIRS模型的Bogdanov-Takens分支  

Bogdanov-Takens Bifurcation of SIRS Model

作　　者：周美涛[1] ZHOU Mei-tao(College of Science,Liaoning University of Technology,Jinzhou 121001,China)

机构地区：[1]辽宁工业大学理学院,辽宁锦州121001

出　　处：《辽宁工业大学学报（自然科学版）》2023年第6期410-414,共5页Journal of Liaoning University of Technology(Natural Science Edition)

摘　　要：讨论了带有治疗与非线性接触率的SIRS传染病模型的Bogdanov-Takens分支,通过数学分析得到了模型存在Bogdanov-Takens分支的条件,并且给出了Bogdanov-Takens分支的规范型,计算出了三条分支曲线:鞍结点分支、Hopf分支、同宿分支。Discussed the Bogdanov-Takens bifurcation of a SIRS epidemic model with treatment function and nonlinear incidence rate of infectious individuals.By mathematical analysis,it gives the condition for the obtained Bogdanov-Takens bifurcation of the model,and the normal form of the Bogdanov-Takens bifurcation is given.Three branching curves(saddle node bifurcation,Hopf bifurcation and homoclinic bifurcation)are calculated.

关 键 词：Bogdanov-Takens 分支 同宿轨 

分 类 号：O175[理学—数学]