24171.三類生物模型的概周期解的存在性和永久性研究

1、三類生物模型的概周期解的存在性和永久性研究AlmostPeriodicSolutionsforthreeKindsofBiologicalModels碩士生姓名：琚未指導(dǎo)教師姓名、職稱：李雪梅教授學(xué)科專業(yè)：應(yīng)用數(shù)學(xué)研究方向：常微分方程湖南師范大學(xué)學(xué)位評定委員會辦公室二零一四年五月ABSTRACTThisthesismainlydiscussesthealmostperiodicsolutionsofthreekindsofbiologi

2、calmodelsBymeansofdifferentresearchmethods，thesufficientcondi—tionsontheexistenceofalmostperiodicsolutionsoftheseveralkindsofsystemshavebeenobtainedItisconsistsoffourchaptersInChapterl，introduceissuesarisingfromthehistor

3、icalbackgroundandmaintasksofthisarticleInChapter2，studiedtheexistenceofalmostperiodicsolutionsforimpulsiveHematopoiesismodelwithtimevaryingdelayandanonlinearharvestingterm，OurapproachisbasedontheestimationoftheCauchymatr

4、ixofthecorrespondinglinearimpulsivedifferentialequationsWeemploythecontractionmappingprincipleandtheGronwallBellmaninequalitytoobtaintheexistenceandstabilityofthealmostperiodicsolutionofthesystemOurresultsextendsomeknown

5、resultsInChapter3discussedtheexistenceofalmostperiodicsolutionsfortheonedimensionalLogarithmicsystem，byusingthefixedpointtheorem，weobtaintheexistenceofalmostperiodicsolutionsofthisonedimensionalLogarithmicsystem，andbyusi

6、ngthedifferentialinequality，thepermanentofthesystemareobtainedInChapter4，discussedtheexistenceofalmostperiodicforLotkaVolterramodelwithHollingIIIfunctionalresponseandinterferenceandfeedbackcontrolWeconstructasuitableLyap

7、unovfunctionandnsesomeanalysistechniquestoobtainexistenceandasymptoticstabilityofalmostperiodicsolutionofthesystemByapplyingdifferentialinequalities，weobtainpermanentofthesystemKeywords：Hematopoiesismodel，Logarithmicpopu