Persistence and Periodic Solution on a Nonautonomous SIS Model with Delays  

作　　者：San-ling Zhi-enMa ZhenJin 

机构地区：[1]DepartmentofMathematics,ShanghaiJiaotongUniversity,Shanghai200030,China [2]DepartmentofAppliedMathematics,XianJiaotongUniversity,Xi'an710049,China

出　　处：《Acta Mathematicae Applicatae Sinica》2003年第1期167-176,共10页应用数学学报（英文版）

基　　金：Partially supported by the National Nature Science Foundation of China (No.19971066);the Youth Sciences Foundation of Shanxi Province (No.20021003).

摘　　要：An SIS model with periodic maximum infectious force, recruitment rate and the removal rate of the infectives has been investigated in this article. Sufficient conditions for the permanence and extinction of the disease are obtained. Furthermore, the existence and global stability of positive periodic solution are established. Finally, we present a procedure by which one can control the parameters of the model to keep the infectives stay eventually in a desired set.An SIS model with periodic maximum infectious force, recruitment rate and the removal rate of the infectives has been investigated in this article. Sufficient conditions for the permanence and extinction of the disease are obtained. Furthermore, the existence and global stability of positive periodic solution are established. Finally, we present a procedure by which one can control the parameters of the model to keep the infectives stay eventually in a desired set.

关 键 词：time delay Liapunov functional PERSISTENCE periodic solution global stability 

分 类 号：O175.2[理学—数学] R51[理学—基础数学]