比率依賴Holling-Ⅲ捕食-食餌系統(tǒng)的研究.pdf

1、湖北工業(yè)大學(xué)碩士學(xué)位論文比率依賴HollingⅢ捕食食餌系統(tǒng)的研究姓名：朱長青申請學(xué)位級別：碩士專業(yè)：計算機(jī)應(yīng)用技術(shù)指導(dǎo)教師：田德生20100201湖北工業(yè)大學(xué)碩士學(xué)位論文IIAbstractInthecauseofdealingwithbiologicalproblemsbyestablishingthemathematicalmodelstherehavebeenalargenumberofresultstothequalitati

2、veanalysisfpredatpreysystems.Howeverduetothecomplexityofbiologicalphenomenaifthefunctionalresponsefunctionofthepredatonlydependsonthedensityofthepreythephenomenonoftheecosystemcannotbeproperlyexplained.Sosomescholarshave

3、establishedtheratiodependentfunctionbasedonecologicalphenomena.Namelyinthecasethatthepopulationofthepreyislimitedtheproductivityofthepredatshouldbeafunctionoftheratioofpredattoprey.OftheratiodependentsystemwithHollingⅡty

4、pefunctionalresponsefunctionpeoplehavewidelystudied.IncontrastfewresultsarefoundftheratiodependentsystemwithHollingⅢtypefunctionalresponse.ThusinthispaperwestudyaclassofratiodependentHollingⅢpredatpreymodelsasfollows：???

5、?????=??=).()1(222222xmyxdyyxmyycxkxrxxβ&&Inthispaperwefirstlygivethequalitativeanalysisofthissystemintheautonomouscase.Herewemainlyresearchtheequilibriumtheboundednessofpositivesolutionsthedissipationtheexistenceoflimit

6、cyclesofthissystemetc.ThetheemsmethodsemployedarePoincarBendixsontheemsomeanalysistechniquessoon.Inadditionthevariationsoftheenvironmentplaysanimptantroleinmanyecosystems.Inparticulartheperiodicvariationsoftheenvironment

7、alusuallyresultintheperiodicfluctuationsofbiologicalpopulations.Therefewealsotakeintoaccountthatparametersinthesystemareperiodicfunctionsi.e.thesystemisofperiodiccoefficients.Inthestudyoftheexistenceofperiodicsolutionsft

8、hesystemthetheeticalmethodusedisthecontinuationtheemofcoincidencedegreethey.Thisarticleisdividedintofivechapters.Inthefirstchaptertheintroductionisgiven.Thechapterisdividedintotwosections.InsectionIweintroducethehistical

9、backgroundthedevelopmentofHollingtypepredatpreysystemsthewksthatmanyauthshavedoneonthem.InsectionIIthemainresearchcontentsofthisarticlearegiven.Inthesecondchaptersometheemsthatweuseinthisarticleareintroduced.Thechapteris

10、dividedintothreesections.InsectionIwelistthefundamentaltheemofthetheyofthedinarydifferentialequations.InsectionIIwesummerizethetheyonthetwodimensionalsystem.InsectionⅢthecontinuationtheemisgiven.Inthethirdchapterwegiveth