一類捕食者帶有傳染病的捕食模型的定性分析.pdf

1、東南大學碩士學位論文一類捕食者帶有傳染病的捕食模型的定性分析姓名：王雅萍申請學位級別：碩士專業(yè)：數(shù)學；應用數(shù)學指導教師：王明新；陳文彥20110125QualitativeanalysisofapredatorpreymodelwithepidemicinthepredatorAbst隱ctInthispaper，anecoepidemiologicalmodelwithepidemicinthepredatordulf，rau2、一d

2、t2蜘I卜i奶一麗夕，墊～eaulD1dtlbul1)1舭)，——2囂2一一一|f，牡3，’警=u3(舭一D2)，WaSconsideredThispaperincludesthreepartsInthefirstpart，asystemwithdiffusionunderthehomogeneousNeumannboundaryConditionwasstudiedFirst，thelocalasymptoticstabilityof

3、thepositiveConstantsteadystatesofthesystemWasconsideredThen，theaprioriestimates(positiveupperandlowerbounds)wasgivenbythemaximumprincipleandHamackinequalityFinallythenonexistenceandexistenceofnoncoustantpositivesteadysta

4、teswereobtainedbyusingtheener盯methodandtopologicaldegreemethodInthesecondpart，asystemwithcrossdiffusionWasconsideredSimilarlytheaprioriestiomateswasgivenfirstlyThen，theexistenceofnonconstantpositivesteadystateswasobtaine

5、dbyusingthetopologicaldegreemethodInthethirdpart，asystemwithhomogeneousDirichletboundaryConditionWasconsideredByuseofthemethodofupperandlowersolutionstogettheexistenceofpositivesteadystatesKeywords：predatorpreymodel，exis