PERMANENCE OF A SIRS EPIDEMIC MODEL WITH IMPULSIVE VACCINATION AND DISTRIBUTED DELAYS  

作　　者：Qiuying Li, Fengqin Zhang (Dept. of Applied Math., Yuncheng University, Yuncheng 044000, Shanxi) 

出　　处：《Annals of Differential Equations》2010年第3期277-283,共7页微分方程年刊（英文版）

基　　金：supported by the National Natural Science Foundation of China (10471040);the Natural Science Foundation of Shanxi (2009011005-3)

摘　　要：In this paper, we consider a SIRS epidemic model with impulsive vaccination and distributed time delays. By the discrete dynamical system determined by the stroboscopic map, we obtain the exact infection-free periodic solution to the system. Further, using the comparison theorem, we prove that the infection-free periodic solution is globally attractive under an assumption. A sufficient condition for the permanence of the model is investigated.In this paper, we consider a SIRS epidemic model with impulsive vaccination and distributed time delays. By the discrete dynamical system determined by the stroboscopic map, we obtain the exact infection-free periodic solution to the system. Further, using the comparison theorem, we prove that the infection-free periodic solution is globally attractive under an assumption. A sufficient condition for the permanence of the model is investigated.

关 键 词：SIRS model vaccination rate distributed delays infection-free periodic solution global attractor PERMANENCE 

分 类 号：O242.1[理学—计算数学]