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(xué)碩士學(xué)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(qǐng)學(xué)位級(jí)別：碩士專業(yè)：數(shù)學(xué)；應(yīng)用數(shù)學(xué)指導(dǎo)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