19612.污染環(huán)境中非自治兩種群系統(tǒng)的持續(xù)生存與滅絕

1、遼寧師范大學碩士學位論文污染環(huán)境中非自治兩種群系統(tǒng)的持續(xù)生存與滅絕姓名：祁延超申請學位級別：碩士專業(yè)：應用數(shù)學指導教師：劉兵201204污染環(huán)境中非自治兩種群系統(tǒng)的持續(xù)生存與滅絕PermanenceandExtinctionofNonautonomousTwoSpeciesSystemsinaPollutedEnvironmentAbstractInrecentyears，theenvironmentalquestionismorean

2、dmoreseriousforbiologicalpopulationandhumanItcausesmoreattentiontopeopleintherealworldSincenon—autonomoussystemismoreclosetotherealnatureandhasastrongbiologicalsignificance，inthispaperweestablishanonautonomouscompetition

3、modelandnon—autonomouspredatorpreymodelswithimpulsiveperturbationsinapollutedenvironmentandinvestigatethedynamicsofsuchsystemsFirst，weintroducetheresearchbackgroundInChapter1，forthecompetitionpopulationwesetupanonautonom

4、ouscompetitionmodelinapollutedenvironmentwithpulsepollutioninputandimpulsiveperturbationsByusingtheanalyticalmethodandcomparisontheoremofimpulsivedifferentialequation，wegivethesufficientconditionsofpermanenceandextinctio

5、nofthegivenmodelByconstructingLyapumovfunction，theglobalattractiveconditionsareobtainedTheseresultsprovidetheoreticalbasisforthecompetitionpopulationlivinginthepollutedenvironment、歷ⅡldiscontinuousperturbationsbypeopleInC

6、hapter2，sincemostspeciesexistintheformofpreyandpredatorwesetanonautonomouspredatorpreymodelwithdiscontinuousperturbationsinapollutedenvironmentwithpulsepollutionmvutByanalyzingthepredatorandpreyandusingcomparisontheoremo

7、fimpulsivedifferentialequation，wegetthesufficientconditionsofpermanenceandextinctionofthepopulationFurtherwegettheglobalattractiveconditionsbyconstructingLyapumovfunctionInChapter3，weconsideraspecificpredatorpreysystem，t

8、hatis，predatorpreysystemwithHollingIIfunctionalresponseWeobtainthesufficientconditionsofpermanenceandextinctionofpopulationBecausethesedependontheconcentrationoftheenvironmentalpollutionstrictlythepopulationwilltendtobee

9、xtinctiftheemissionofpollutantsisexcessiveSoinordertopreventpopulationfromextinctionweshouldcontroltheamountofthepollutantemissionKeyWords：PulsePollutionInput：NonautonomousPredatorpreySystem；NonautonomousCompetitionSyste