Global stability of the SEIR epidemic model with infectivityin both latent period and infected period

摘要：

　　An epidemic model with infectivity and recovery in both latent and infected period is introduced.Utilizing the LaSalle invariance principle and Bendixson criterion,the basic reproduction number is found,we prove that the disease-free equilibrium is globally asymptotically stable when the basic reproduction number is less than one.The disease-free equilibrium is unstable and the unique positive equilibrium is globally asymptotically stable when the basic reproduction number is greater than one.Numerical simulations support our conclusions.

关键词： epidemic model latent period equilibrium the second compound matrix global stability

作者: Yu Zhang Ze-Zhu Ren

作者单位: College of Foundation ScienceHarbin University of CommerceHarbin , China College of EconomicsHarbin University of CommerceHarbin , China

会议类型: 国际会议

会议名称: 7th International Conference on Systems Biology(第7届计算系统生物学国际研讨会)(ISB2013)

会议地点: 安徽黄山

会议语种:英文

页码: 34-38

在线出版日期: 2013-08-22（万方平台首次上网日期，不代表论文的发表时间）