具有脈沖或反饋控制的生物模型概周期解的研究.pdf

1、分類號學(xué)校代碼10542密級學(xué)號201202100861具有脈沖或反饋控制的生物模型概周期解的研究TheStudyofAlmostPeriodicSolutio，nforBiologicalModelswithImpulsiveorFeedbackControls研究生姓名張珂溶湖南師范大學(xué)學(xué)位評定委員會(huì)辦公室二零一五年五月ABSTRACTThisthesismainlystudiestheseveralkindsofbiologica

2、lmodelwithimpulsesorfeedbackcontrolsBymeansofdifferentresearchmethods，thesu伍cientcondi—tionsontheexistenceofalmostperiodicsolutionsoftheseveralkindsofsystemshavebeenobtainedItisconsistsoffourchaptersInChapter1，introducei

3、ssuesarisingfromthehistoricalbackgroundandmaintasksofthisarticleInChapter2，discusstheexistenceofalmostperiodicsolutioninamodelofhematopoiesiswithimpulsiveOurapproachisbasedontheestimationoftheCauchymatrixofthecorrespondi

4、nglinearimpulsivedifferentialequationsWeemploythecontractionmappingprincipleandtheGronwallBellmaninequalitytoobtaintheexistenceandstabilityofthealmostperiodicsolutionofthesystemOurresultsextendsomeknownresultsInChapter3，

5、discusspermanenceandglobalattractivityofpositivealmostperiodicsolutionsforimpulsiven—speciseLotkaVolterrasystemsByconstruct—ingasuitableLyapunovfunctionandusingsomeanalysistechniques，weobtainsomesufficientconditionswhich

6、guaranteeexistenceofauniquepositivealmostperiodicsolutionofthesystemByusingimpulsiveinequalities，weobtainpermanentofthesystemInChapter4，discussthealmostperiodicsolutionofamodifiedLeslieGowerpredator—preymodelwithBeddingt

7、onDeAngelisfunctionalresponseandfeed—backcontrolsWeconstructasuitableLyapunovfunctionandusesomeanalysistechniquestoobtainexistenceandasymptoticstabilityofalmostperiodicsolutionofthesystemByapplyingdifferentialinequalitie