溫度影響下害蟲—病毒系統(tǒng)模型與分析.pdf

1、南京師范大學碩士學位論文溫度影響下害蟲病毒系統(tǒng)模型與分析姓名：李丹申請學位級別：碩士專業(yè)：數(shù)學；基礎數(shù)學指導教師：崔景安20090505AbstractTheinterrelationshipoftemperatureinenvironmentspestpopulationunderviralinfection(i.e.usingviralpesticide)isofcriticalimptanceUsually，thedevelopm

2、entperiodsofpestjuvenileτ1thelasttimeofinfectedpestsτ2arealladecreasingfunctionofthetemperatureinenvironments(AulayMackenzie，2000)Inthispaper，takingexplicitaccountofτ1τ2，wedealswiththeroleoftheminoverallinfectionprocessi

3、npestcommunitythroughmathematicalmodelinganalysisFewinsectsaresusceptibletopathogensatallstagesoftheirlifecycle(C.J.Briggs，1995)Thefirsttwomodelsassumesthatonlytheadultinsectissusceptibletoinfection，whilethethirdmodelass

4、umesajuvenilesusceptiblestageInourthreemodels，weprovethatwhethertheendemicequilibriumexistsisjustonlyrelatedtothedevelopmentperiodsofpestjuvenileτ1Fτ1τ?systemexhibitsaonlypositiveequilibriumsolutionsofsystemarepermanentw

5、henvirusonlyinfectsadultpests，whilefτminτ1τmaxsystemexhibitsaonlypositiveequilibriumsolutionsofsystemarepermanentwhenvirusinfectspestjuvenileTheconsequencesofthispaperwillprovethatdevelopingitbybiologytechnologieswhichha

6、slessnaturemalityrate，mevirusreplicationsininfectedpestsmeeffectiveperpestcontactratewithvirus，theNPVwillbeabletocontroldensitiesofpestpopulationsingreaterrangeoftemperatureKeywds：：：Pestcontrol；Viralinfection；Timedelay；T