具有双时滞且接种的SEIR传染病模型及Hopf分支  

Hopf Branch of a SEIR Epidemic Model with Double Time-Delays and Continuous Vaccination

作　　者：王丽敏[1] 雒志学[1] 王寿斌[1] 

机构地区：[1]兰州交通大学数理学院,甘肃兰州730070

出　　处：《兰州交通大学学报》2016年第1期151-156,共6页Journal of Lanzhou Jiaotong University

基　　金：国家自然科学基金(11061017)

摘　　要：通过考虑疾病潜伏期τ_2和疫苗的失效期τ_1,建立了具有双时滞的SEIR传染病模型,依次把τ_1,τ_2作为参数,利用特征根法并结合E.Beretta,Y.Kuang方法,讨论了系统无病平衡点和地方病平衡点的局部渐近稳定性以及系统在地方病平衡点局部Hopf分支的存在性.A SEIR epidemic model with doule time-delays and continuous vaccination is established,which considers the incubation periodτ_2of the disease and vaccine failure periodτ_1.Then the system′s local asymptotic stabilities at the points of disease-free equilibrium and endemic disease equilibrium are discussed,respectively.Especially,Hopf branch′s existence of the endemic disease equilibrium point is also analyzed by using the characteristic root method and E.Beretta,Y.Kuang method and takingτ_1,τ_2as parameter in sequence at the same time.

关 键 词：时滞 平衡点 局部渐近稳定性 HOPF分支 

分 类 号：O175[理学—数学]