幾類(lèi)生態(tài)學(xué)系統(tǒng)的動(dòng)力學(xué)性質(zhì).pdf

1、中南大學(xué)碩士學(xué)位論文幾類(lèi)生態(tài)學(xué)系統(tǒng)的動(dòng)力學(xué)性質(zhì)姓名：蘇華申請(qǐng)學(xué)位級(jí)別：碩士專(zhuān)業(yè)：應(yīng)用數(shù)學(xué)指導(dǎo)教師：戴斌祥20061101ABSTRACTThisdissertationmainlydealswithdynamicsofsomepopul舢tionmodeisbyusingLyapunovfunctionmethodandcomparisontheoremofordinarydifferentialequations，F(xiàn)loquetthe

2、oremandsmallamplitudeperturbationskillsofimpulsivedifferentialequations，CODtinuationtheoremofcoincidencedegreetheoryThesedynamicscontainuniformlypersistenceexistenceandstabilitvofperiodicsohitions(orpositiveperiodicsolut

3、ions)，ultimatelyboundednessandchaoticbehaviorofthesesystemsThepaperiscomposedoffourchaptersInChapter1，thehistoricalbackgroundofproblemstobestudiedandthesignifivanceofthisdissertationoxeintroducedW色summarizesomeexcellentw

4、orksinpopulationdynamicsThen，weintroducesomeexcellentworkswhichemergeinrecentyearsInChapter2，thepersistenceofaratiodependentpredatorpreymodelwithstagestructureisstudiedbyusingLyapunovfunctionmethodandcomparisontheoremInC

5、hapter3，weconsiderthedynamiccornplexitiesofapredatorpreysystemwithHollingtypefunctionalrespouseandimpulsiveeffectsWeverifywhentheimpulsiveperiodisnolongerthansomethreshold，thepest—eradicationsolutionislocallyasymptotical

6、lystableOtherwise，iftheimpulsiveperiodislargerthanthethreshold，thesystemispermanentFurtherinfluencesofimpulsiveperturbationsOilthesystemarestudied，andnumericalsimulationshowsthatthesystemhasrichdynamicalbehaviorsInChapte

7、r4，adelayedratiodependentpredatorpreymodelwithHollingtypefunctionalresponseandimpulseisinvestigatedByusingthecontinuationtheoremofcoincidencedegreetheoryasetofeasilysufficientconditionsfortheglobalexistenceofapositiveper