本刊声明 (1).pdf

滨州学院学报第39卷2 ARENAS A J,GONZALEZ-PARRA G,DE LA ESPRIELLA N.No n l in ea r d yn a mic s o f a n ew sea-so n a l epid emio l o gic a l mo d el w it h a ge-st ru c t u re a n d n o n l in ea r in c id en c e ra t eJ Co mpu t a t io n a l a n d a ppl ied ma t h ema t ic s)2021,40(2)：1 27.3 LI X Z,YANG J,MARTCHEVA M Age st ru c t u red epid emic mo d el in gM.Bern e：Sprin ger Nat u re,2020.4 CAI Y,KANG Y,BANERJEE M,et a l.A st o c h a st ic SIRS epid emic mo d el w it h in fec t io u s fo rc e u nd er in t erv en t io n st ra t egiesJ.Jo u rn a l o f d ifferen t ia l eq u a t io n s 2015,259(12)：7463-7502.5 KUMAR A.Ma t h ema t ic a l a n a l ysis o f a d el a yed epid emic mo d el w it h n o n l in ea r in c id en c e a n d t rea tmen t ra t esJ.Jo u rn a l o f en gin eerin g ma t h ema t ic s,2019,115(1):1 20.6 DE LA SEN M,ALONSO-QUESADA S,IBEAS A.On t h e st a bil it y o f a n SEIR epid emic mo d el w it h d ist ribu t ed t ime-d el a y a n d a gen era l c l a ss o f feed ba c k v a c c in a t io n ru l esEJZI Appl ied ma t h ema tic s a n d c o mpu t a t io n,2015,270：953-976.7 WANG W.Gl o ba l beh a v io r o f a n SEIRS epid emic mo d el w it h t ime d el a ys.Appl ied ma t h ema t ic s l et t ers,2002,15(4)-423-42&8 AKIMENKO V An a ge-st ru c t u red SIR epid emic mo d el w it h fix ed in c u ba t io n perio d o f in fec t io n J Co mpu t ers&ma t h ema t ic s w it h a ppl ic a t io n s,2017,73(7)：1485-1504.9 HASSARD B D,KAZARINOFF N D,WAN Y H,et a l.Th eo ry a n d a ppl ic a t io n s o f Ho pf bifu rc a-t io n J,SIAM rev iew?1982,24(4)：498-499.Age-structured SIQRS Epidemic Model with Time DelayWANG Xin-yu(Sch o o l o f Mat h emat ics and Ph ysics,Lanzh o u Jiao t o ng Universit y Lanzh o u 730070,Ch ina)Abstract:In o rd er t o fu rt h er a n a l yze t h e c h a ra c t erist ic s o f epid emic t ra n smissio n a n d bet t er c o n t ro l t h e d ev el o pmen t o f t h e epid emic,a SIQRS epid emic mo d el w it h v ert ic a l t ra n smissio n a n d t ime d el a y is est a bl ish ed.Th e ex ist en c e a n d u n iq u en ess o f t h e t ra v el in g w a v e so l u t io n o f t h e syst em a re pro v ed by u sin g t h e ex pl ic it rec u rsiv e a l go rit h m c o mbin ed w it h t h e c h a ra c t erist ic l in e met h o d a n d Ro u t h Hu rw it z c rit erio n,a n d t h en t h e st a bil it y o f t h e eq u il ibriu m po in t o f t h e syst em is a n a l yzed in o rd er t o fin d o u t t h e in fl uen c e o f d el a y o n Ho pf bifu rc a t io n.It is pro v ed t h a t c o n t ro l l in g t ime d el a y is ben efic ia l t o el imin a t e t h e epid emic.Keywords:a ge-st ru c t u re；st a bil it y；t ime-d el a y；t ra n smissio n d yn a mic s(责任编辑：贾晶晶)本刊声明本刊已许可中国学术期刊（光盘版）电子杂志社有限公司、北京万方数据股份有限公司（万方数据电 子出版社）、重庆维普资讯有限公司、超星期刊域出版平台等在其各自的系列数据库产品中以数字化方式 复制、汇编、发行及在信息网络传播本刊全文。作者著作权使用费和稿酬（即包括印刷版、光盘版和网络版 等各种使用方式的报酬）一并支付。如作者对本声明持有异议，请在投稿时说明。46