一类具有常数移民特征的时滞SEI传染病模型的周期解  

Periodic Solution of a Delayed SEI Epidemic Model with Constant Migration Characteristics

作　　者：刘娟[1] 潘玉荣[1] 张子振[2] LIU Juan;PAN Yurong;ZHANG Zizhen(School of Mathematics and Physics,Bengbu University,Bengbu 233030,China;School of Management Science and Engineering,Anhui University of Finance and Economics,Bengbu 233030,China)

机构地区：[1]蚌埠学院数理学院,安徽蚌埠233030 [2]安徽财经大学管理科学与工程学院,安徽蚌埠233030

出　　处：《新乡学院学报》2022年第12期1-5,共5页Journal of Xinxiang University

基　　金：安国家自然科学基金项目(12001001);安徽省高校自然科学研究重点项目(KJ2021A1128)。

摘　　要：研究了一类易感者、潜伏者和恢复者均具有常数移民特征的时滞SEI传染病模型,以疾病的潜伏期时滞为分岔参数,利用特征值法分析了模型的局部渐近稳定性和Hopf分岔的存在性,利用中心流形定理和规范型理论得出了分岔周期解的显式公式,利用仿真示例验证了结论的正确性。A class of SEI epidemic model with time delay is studied,in which the susceptible,the latent and the recovered have constant migration characteristics.Taken the latency of the disease as the bifurcation parameter,the local asymptotic stability of the model and the existence of Hopf bifurcation are analyzed by using eigenvalue method.The explicit formula of the bifurcation periodic solution is obtained by using the central manifold theorem and the normal type theory.The correctness of the conclusion is verified by using simulation examples.

关 键 词：常数移民特征 时滞 SEI模型 HOPF分岔 周期解 

分 类 号：O175.12[理学—数学]