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In this paper,an initial boundary value problem with homogeneous Neumann boundary condition is studied for a reaction-diffusion system which models the spread of infectious diseases within two population groups by means of self and criss-cross infection mechanism. Existence,uniqueness and boundedness of the nonnegative global solution (u1,u2,u3,u4),existence of the limit of the solution as t→+∞,namely,(u1,u2,u3,u4)→(u*1,0,u*3,0),are proved. 相似文献
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IIntroductlonMny mathematical models rom physics,chemistry biology,economics etc.are so calledre。ilo。dlAslon srstems.ljtlstence of tr。ling w。front solutions(TWFSs)for these sys-terns rdects Int。aCtions among components ofsystems and TTSs have their own physicalme。lug(see【l]).The upper。d ic。r solutions method Is often used to pro、the。lstenceofTWFSs for certain concrete models.Difficulties consist ofconstrudlug concrete upper andlower solutions and provingtheboundedness and… 相似文献
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互助-竞争型扩散反应方程解的渐近性质 总被引:2,自引:0,他引:2
含有n个物种的生态问题中,要研究如下形式的定解问题:其中ΩR~n是开区域,x=(x_1,…,x_n),a_i<0(i=1,…,m).[1]中讨论了m=2的竞争情形,即a_(ij)<0(i≠j,i,j=1,2)。[2]中讨论了m=3且是第二边 相似文献
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书中较详尽叙述了现代常用的痕量元素分析测定方法,系统地概括了现代痕量元素分析技术的动态及研究成果,总结、介绍了每种分析方法的基础理论知识和具体应用。该书有以下几个特点: 相似文献
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The existence, uniqueness and stability of positive periodic solution for periodic reaction-diffusion system 总被引:1,自引:0,他引:1
1. IntroductionLet fi e RN be a bounded open domain with smooth boundary afl, and for eachi E {1, 2,', m}, let Li be a second order differelltial operator defined byand Bi be a boundary operator given bywhere % denotes the outward normal derivative of m on an.We consider the following boundary value problem of the reaction-diffusion system withtime delaywhere i = 1, 2,'. I m) mr = "i(x, t -- r), r 2 0 is a constant. If r ~ 0, it means that system(I) does not include the terms of time lag… 相似文献
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§ 1.Introduction Inthispaperwestudythestrongandweakpropertyoftravellingwavefrontsolutions (TWFS)forthefollowingdegenerateparabolicequation : ψ(u) t = 2 u x2 +f(u) . ( 1 .1 ) Welookforsolutionsof( 1 .1 )oftheformu(x,t) =q(x -ct) (cisthewavespeed) ,whereq( ξ) ,ξ=x -ct,asafunctionofas… 相似文献