13819.具有廣義hollingⅲ型功能性反應(yīng)的共位群內(nèi)捕食系統(tǒng)的動(dòng)力學(xué)行為

1、分類號(hào)一UDC密級(jí)公開另毋廬夕擎碩士研究生學(xué)位論文具有廣義Holling型功能性反應(yīng)的共位群內(nèi)捕食系統(tǒng)的動(dòng)力學(xué)行為申請(qǐng)人：秦爽學(xué)號(hào)：2131065培養(yǎng)單位：數(shù)學(xué)科學(xué)學(xué)院學(xué)科專業(yè)：數(shù)學(xué)研究方向：微分方程及數(shù)學(xué)生物學(xué)指導(dǎo)教師：趙治濤副教授完成日期：2016年3月17日AbstractPopulationecologyisanimportantbranchofecology，andpredator。preyrelationshipisoneo

2、fthebasicrelationshipbetweentheinteractionofbiologicalpopulationsSincecompetitionandpredationareimportantpartsofthebiologicalcommunity，andpredator—preyrelationshipisalsoubiquitousinnature，thepredatorpreymodelsarepaidgrea

3、tattentionbymathematiciansandecologistsathomeandabroadSofartheresearchonpredatorpreymodelhasgottenrapiddevelop—mentBasedonthis、theresearchOnpredatorpl。eymodelhasbecomeahottopicandhasimportantvalueofpracticalapplicationIn

4、thispaper，wesystematicallystudyanintraguildpredationsystemwithgeneralizedHollingIIlfunctionalresponseFirstly，wediscussthepositivityandbound—ednessofthesolution：andanalyzethelocalasymptoticstabilityoftheboundaryequilibriu

5、m，andtheobtainedresultsareverifiedbynumericalsimulationSecondly，theequilibriumpointandtheglobalasymptoticstabilityofthethreesubsystemsareanalyzed，andthesumcientconditionsfortheglobalasymptoticstabilityaregivenandsomenume

6、ricalsimulationsarecarriedouttosupporttheaboveresultsFinally，weresearchthepersistenceandextinctionofeverypopulation，andobtamthesufficientcriterionforthepersistenceandextinctionofthesystemKeywords：Intraguild；Predation；Gen