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1、WORD格式整理版一类具有时滞和扩散的传染病模型的单稳波王宇晓，王智诚兰州大学数学与统计学院学院，兰州，730000摘要：本文研究了带扩散的时滞方程范文范例参考WORD格式整理版∂∂t∂∂tu1u2(x,t)=d1u1(x,t)−a11u1(x,t)+a12u2(x,t),(x,t)=d2u2(x,t)−a22u2(x,t)+g(u1(x,t−τ))范文范例参考WORD格式整理版的波前解的存在性和渐近稳定性。与已往主要研究d2=0情形不同的是，本文主要研究d2>0的情形，也就是已感染者带扩散的情形。关键词：传染病模型，行波，存
2、在性，初值问题，渐近稳定性中图分类号：O175MonostableWavesinaTime-delayedandDiffusiveEpidemicModelWANGYu-Xiao,WANGZhi-ChengSchoolofMathematicsandStatistics,LanzhouUniversityLanzhou,Gansu730000,ChinaAbstract:Inthispaper,westudytheexistenceandasymptoticstabilityoftravelingwavesfrontsinthefo
3、llowingtime-delayedanddiffusiveepidemicmodel范文范例参考WORD格式整理版∂∂t∂∂tu1u2(x,t)=d1u1(x,t)−a11u1(x,t)+a12u2(x,t),(x,t)=d2u2(x,t)−a22u2(x,t)+g(u1(x,t−τ)).范文范例参考WORD格式整理版Incontrasttothepreviousstudyforthecased2=0,herewefocusonthecased2>0,namely,infectivehumanpopulationdiffuse
4、s.Keywords:Epidemicmodel,Travelingwaves,Existence,Initialvalueproblem,Asymptoticstability.范文范例参考WORD格式整理版0Introduction范文范例参考WORD格式整理版Thegeographicspreadofepidemicisanimportantsubjectinmathematicalepidemiology.In1981,CapassoandMaddalena[1,2]proposedandanalyzedthefollo
5、wingreactiondiffusion基金项目：NNSFofChina(11071105),theProgramforNewCenturyExcellentTalentsinUniversity(NCET-10-0470),theResearchFundfortheDoctoralProgramsofHigherEducationofChina(20090211120023),theFun-damentalResearchFundsfortheCentralUniversities(lzujbky-2011-k27).范文范例参
6、考WORD格式整理版作者简介：WANGYu-Xiao(1985-)，female，graduate.Correspondenceauthor：WANGZhi-Cheng（1972-），范文范例参考WORD格式整理版male，professor，majorresearchdirection：partialdifferentialequations,dynamicalsystem.-1-范文范例参考WORD格式整理版systemmodelingthespatialspreadofaclassofbacterialandviraldis
7、eases:范文范例参考WORD格式整理版∂∂t∂∂tu1u2(x,t)=d1∆u1(x,t)−a11u1(x,t)+a12u2(x,t),(x,t)=d2∆u2(x,t)−a22u2(x,t)+g(u1(x,t)),(1)范文范例参考WORD格式整理版whichisthediffusiveversionofanODEmodelproposedbyCapassoandPaveri-Fontana[3].Hered1,a11,a12anda22arethepositiveconstants,d2isanonnegativecon
8、stant,u1(x,t)andu2(x,t),respectively,denotethespatialdensitiesofinfectiousagentandtheinfectivehuman范文范例参考WORD格式整理版population
