一類具有Watt型功能性反應(yīng)的捕食者—食餌系統(tǒng)的研究.pdf

1、東北師范大學(xué)碩士學(xué)位論文一類具有Watt型功能性反應(yīng)的捕食者—食餌系統(tǒng)的研究姓名：王旭申請學(xué)位級別：碩士專業(yè)：應(yīng)用數(shù)學(xué)指導(dǎo)教師：范猛20050501AbstractTherelationshipbetweenpredatorandpreyisoneofthebasicrelationshipsamongspeciesUnderstandingthedynamicalrelationshipbetweenpredatorandpreyis

2、acentralgoalinecologyandmathematicalbiologyMostofthepredator—preymodelswehaveinvestigatedarethesystemswithfunctionalresponsesIngeneral，thefunctionalresponsecanbeclassifiedintotwotypes：prey—dependentandpredator—dependentT

3、hereismuchsignificantevidencetosuggestthatpredatordependenceinthe％nctionalresponseOCCURSquitefrequentlyinlaboratoryandnatrualsystenlsRecentlyalotofthepredator—dependentfunctionalresponseshavebeenwellstudiedsuchas：Bedding

4、ton—DeAngelisCrowley—Martin，Hassell—VarleyandSOonWefindthattheresultsofWatttvDefunctinalresponsearerareintheliteraturesInthispaper，wesystematicallystudythedynamicsofapredatorpreysystemwithWatttypeflmctionalresponseThemod

5、elisdescribedbyFirst，withthehelpofqualitativetheoryofODEs，wediscusstheexistenceandstabilityofitspositiveequilibrium，andalsotheexsitenceofthelimitcycleThen：wediscussthepositiveinvai。ianceandpermanenceforthegenaralnon—anto

6、nomouscaseFinalIy，byusingthecontinuationtheoremofcoincidencedegreetheoryweestablishSU幣cientcriteriafortheexistenceofapositiveperiodicsolutionWealsocarrynumericalsimulationsforsomeconcI。etemodels，whichstronglysupportourth