一类具非单调泛函响应的状态-依赖型时滞捕食者-食饵系统的周期性.pdf

Journalof 生物数学学报2006，2l(3)：321—328 ina PeriodicityDelayState—DependeIlt withNon—MonotonicFunctional System Response WANG WANGZhi-hui2YIN Lian—qiul Fu—qi3 o，^彳口t^em口tics，Ht‘nnn，n5“tute 421008 (1Dep口rt”lent D．，Tec^nofog掣，—Heng掣口nFⅣ1‘n口nG^in口) 422000 (2Dep口rf竹Ie札to，^彳Qt^em口tics，s^dD可口ngGo盯ege，s^口Dv口n9日t工n口nG^in口) o，^彳nt^emBtics，s^口n口_Ilaiun如ersi坷。B口。s^口n 65009l (3DePⅡr打nent s^口n口^口i c：舡nd) Abstract：Inthis with paper，adelayedstate—dependentpredator·preysystem iS coincidenceand non—monotonicfhnctional the responseconsidered．Byusing degree isderivedforthe continuation setof verifiablesumcientconditions theorem，ae弱ily existenceofatleastone s01utiontothe stricitypositiVeperiodic equation． Positive Coincidence words： Key periodicsolution；State—dependentdelay； degree CLCnumber： MRnumber： 0177．2：0175．14 34C25；34K15；92D25 code：A ArticleID： Document 1001—9626(2006)03一0321一。百 0 Introduction orchemical desc—besthe ofsub Inmicrobial uptake dynamics kinetics，mnc乞ionalresponse strate