23078.一類帶趨向性項(xiàng)的捕食模型解的全局存在性

1、華中科技大學(xué)碩士學(xué)位論文一類帶趨向性項(xiàng)的捕食模型解的全局存在性姓名：岳衛(wèi)申請學(xué)位級別：碩士專業(yè)：應(yīng)用數(shù)學(xué)指導(dǎo)教師：楊茵20110512華中科技大學(xué)碩士學(xué)位論文AbstractMathematicalbiologyisancrossdisciplinebetweenmathematicsbiology.Itisbasedonmathematicalmethodstosolvetheproblemsofbiology.itisstudyin

2、gtheeticallyaboutmathematicalquestionsmethodsinrelationtobiology.Themainresearchobjectofthemathematicalbiologyisecologicalsystem.Anindividualganismwithsptsabilitycouldmakethecrespondingreactionbecauseoftheexternalstimula

3、teisacommonphenomenoninecologicalsystem.Thepropertythatthemovementbecauseofreactionhascertaindirectioncanbecalledtendencytherearemanycommondifferenttypesoftaxissuchaschemotaxisaerotaxishaptotaxisphobophototaxissoon.Thest

4、udyofthesetendencynotonlyhastheimptanttheeticalsignificancebutalsohasmeimptantpracticalsignificanceinreallife.peasantoftenusethehabitsthatinsectshavetendencytosomechemicalstoattracttraptheinsectsinAgriculture.Peoplemakef

5、ulluseofthephobophototaxisofmothstohunttheminthenight.Thetropismmodelwasfirstestablishedin1970bySegelKeller.Thiskindofmodelhasgotwidelyrecognitionbetweendomesticinternationalscholarsofcoursetheresearchofthiskindofmodelal

6、somemeindepth.Thepredationmodelofthispaperfullytendencyofbehaviwhichattractpeople’swidelyattention.AsisknowntoalltherespondentbehavifsurroundingenvironmentoflivingganismsisthebasicliferesponseConsidertendencyofbehaviison

7、eoftheimptantfactstodescribethebiologicalsystemsaccurately.Sotheresearchofthispaperhasimptantpracticalsignificance.Thispapermainlyaimsatthepredationsystemswiththebehaviofbiologicalchemotaxis.fonethingweintroducethehistic

8、albackgroundoftheproblemspreparedknowledgeofthepaper.Thenaccountftheexistenceuniquenessoflocalsolutionsbycompressionmappingprinciple.Finallywewilldiscusstheglobalexistenceofsolutions.Keywds:chemotaxis，Sectoperat，localsol