30870.具有allee效應(yīng)及脈沖作用下生物動力系統(tǒng)的研究

1、中北大學碩士學位論文具有Allee效應(yīng)及脈沖作用下生物動力系統(tǒng)的研究姓名：王靜申請學位級別：碩士專業(yè)：應(yīng)用數(shù)學指導教師：薛亞奎20090410中北大學學位論文ABSTRACTRecentlythedynamicmodelwithAlleeeffecthasbeenwidespreadconcerned，research—ingAliceeffectonpopulationsurvivalanddevelopment，hasbecomin

2、gmoreimportantthemodelwithimpulsivecontrolhasplayaimportantroleinPopulationDynamicsInthispaper，weanalyzeandformulatethePredatorpreymodelwithAlleeeffectinthepreyandthedynamicsofathreetrophicpreydependentfoodchainsystemwit

3、himpulsivecontrolFirst，TheAlleeeffectinpreymaybecausedbypredationorprocessesinherenttothepreylifehistoryWealsodiscussedthedifferenteffectsonpreywiththestrongAliceeffectortheweakAlleeeffectAndwestudyboundnessofsolutionsan

4、dtheexistenceoftheequilibria，obtainthesufficientconditionsoflocallyasymptoticallystableoftheequilibria，criterion，furthermore，analyzetheglobalstabilityoftheequilibriabyconstructingappropriateLyapunovfunctionsSecond，Specie

5、sestablishmentinamodelsysteminahomogeneousenvironmentcanbedependentnotonlyontheparametersetting，butalsoontheinitialconditionsofthesystemInthispaper，wedealwiththepreypredatorwhichthepreyhastheAliceeffectsbecauseofimmigrat

6、ionoremigration，Andwestudyboundnessofsolutionsandtheexistenceoftheequilibria，obtainthesufficientconditionsoflocallyasymptoticallystableoftheequilibriafurthermoreFinal，Thispaperconsidersthepreypredatormodelwithathreetroph

7、icfoodchainsystemwithimpulsivecontrol，Natureenemies(predator)缸ereleasedandpesticidesareappliedimpulsivelytomaintainthepestunderthelevelsthatcauseeconomicdamageWeprovethat，whentheimpulsiveperiodismorethansomethreshold，the

8、pest—eradicationsolutionisgloballyasymptoticallystable，andthenweprovethat，whentheimpulsiveperiodislowerthansomethreshold，thethreetrophicpreypredatormodelispermanenceKeywords：Aliceeffect，HollingII，functionalresponse，preyp