渤海大学学报（自然科学版）
渤海大學學報（自然科學版）
발해대학학보（자연과학판）
JOURNAL OF BOHAI UNIVERSITY(NATURAL SCIENCE EDITION)
2014年
3期
211-217
,共7页
宋燕%高连英%杨秋野
宋燕%高連英%楊鞦野
송연%고련영%양추야
脉冲接种%隔离%无病周期解%全局渐近稳定%一致持久
脈遲接種%隔離%無病週期解%全跼漸近穩定%一緻持久
맥충접충%격리%무병주기해%전국점근은정%일치지구
impulsive vaccination%quaranti%disease-free periodic solution%globally asymptotically sta-ble%uniform permanence
研究具有常数输入及非线性传染率的脉冲接种SIQRS传染病模型，利用脉冲微分方程的Floquet定理及比较定理得到了无病周期解全局渐近稳定的充分条件及系统一致持久的充分条件。
研究具有常數輸入及非線性傳染率的脈遲接種SIQRS傳染病模型，利用脈遲微分方程的Floquet定理及比較定理得到瞭無病週期解全跼漸近穩定的充分條件及繫統一緻持久的充分條件。
연구구유상수수입급비선성전염솔적맥충접충SIQRS전염병모형，이용맥충미분방정적Floquet정리급비교정리득도료무병주기해전국점근은정적충분조건급계통일치지구적충분조건。
This paper deals with an SIQRS epidemic model of impulsive vaccination with constant input and nonlinearity of incidence rate .Using the Floquet theorem and compare theorem of impulsive differential equation , the sufficient condition is obtained under which the disease -free periodic solution is globally asymptotically sta-ble.It is proved that the system is uniform permanence under some conditions .
