The Asymptotic Behavior of a Delayed Stage-structured Model with a Disease in the Infant

摘要：

In this paper, a delayed stage-structured single-species model with a disease in the infant is studied. By using the comparison principle in differential equations, we get the sufficient conditions for the global stability of the trivial equilibrium and boundary equilibrium. By constructing Liapunov function, we prove that the endemic equilibrium is not always globally stable and then a semistable limit cycle may exist.

关键词： stage-structured delay epidemic equilibrium

作者: Ruiqing Shi Lansun Chen

作者单位: Dept. Of Appl. Math., Dalian Univ. Of Technol. , Dalian, Liaoning 116024;School of Math. And Comput. Dept. of Appl. math., Dalian Univ. of Technol. , Dalian, Liaoning 116024

会议类型: 国际会议

会议名称: The 1st International ELID-Grinding Conference(第一届镜面磨削技术国际会议)

会议地点: 长沙

会议语种:英文

页码: 476-481

在线出版日期: 2008-06-12（万方平台首次上网日期，不代表论文的发表时间）