基于变动人口的Solow模型

本文在Solow模型框架中引入随时间变动人口增长函数，并假定人口增长率最终趋于零，证明该模型的解是渐近稳定的，收敛于零人口增长率的经典Solow模型的解。通过引入变动人口增长率，讨论人口过渡时期和人口波动对经济增长的影响，并给出数值计算结果。     

随机Solow模型的平稳分布（英文）

本文重新考虑连续时间随机Solow模型,在Merton(1975)模型的条件下,若噪声相对较小时,资本及利率的随机微分方程存在唯一全局正解.本文证明这两类模型存在唯一的稳定分布.     

随机Solow经济增长模型及其解的性质

１９８７年诺贝尔（Ｎｏｂｅｌ）经济学奖获得者Ｓｏｌｏｗ教授，建立了确定性的经济增长模型（１９５６年）．它比较真实地描述了现实世界申的确定性的经济增长状况，然而对不确定性的现象，往往误差较大，甚至失效．本文把Ｓｏｌｏｗ模型扩展到随机情形，扩展了Ｂａｎａｃｈ压缩映像原理和不动点定理，获得了随机Ｓｏｌｏｗ模型主要方程和随机解的一些性质．     

广义随机Solow经济增长模型

本文在文[1]的基础上进一步拓广了随机Solow经济增长模型．利用白噪声分析理论建立的广义随机Solow经济增长模型，将随机Solow模型推广到包含广义白噪声泛函及具有非可料扩散系数的情形，并且借助U—泛函方法表明了Picard迭代法在此仍十分有效．     

An Improved Solow—Swan Model

§1.　IntroductionThetheoryofeconomicgrowthisanimportanttopicinMacroeconomics.Afterador-mancynearlytwodecades,thestudyofeconomicgrowthbecamevigorousagaininthemid-1980s.TheSolow-Swanmodel[1]isoneofthemostusedinthisfield.Thismodelhasarousedmanyresearchersinterestintherecentyears.N.G.Manki,etal(1992)[2]appliedthismodeltoexaminewhetheritisconsistentwiththeinternationalvariationinthestandardofliving.W.Easterly(1993)[3]gavearevisedSolow-SwanmodelbyintroducingtheCESproductionfunction.Inthepaper…     

满足Solow条件的矩阵的性质

讨论了满足Solow条件矩阵的几个性质，并给出了与此相关的经济意义。     

满足Solow条件的矩阵的性质

讨论了满足 Solow条件矩阵的几个性质 ,并给出了与此相关的经济意义 .     

需求弹性与供给弹性的几何特征

常见的通过需求曲线(D)或供给曲线(S)的陡峭或平缓程度来研究需求弹性或供给弹性的大小,是不确切的、不全面的.为了更好地掌握弹性的大小变化,本文引进等弹性曲线簇的概念与图形,讨论需求弹性与供给弹性的几何特征,并通过实例分析更确切全面地比较需求弹性或供给弹性的大小.     

整批间隔进货的存储量控制模型与随机局部弹性

利用作者于文[1，2]引入的随机弹性理论，研究了整批间隔进货并不允许缺货的随机存储模型中，一个采购周期内的总费用对最高存储量的弹性．给出了总费用弹性概率密度函数的一般表达式．进一步给出了存在多种需求物资的随机存储模型中总费用对单个物资采购量的弹性分布函数和概率密度函数，讨论了随着采购量的随机变化，总费用的弹性变化规律和变化范围．通过实例研究了当最高库存量的分布特性已知且采购量服从某一分布时，总费用的弹性变化范围及在该变化范围的可信度．     

基于Green-Naghdi模型与三相延迟模型的耦合热弹性波传播

研究了基于G-N模型与三项延迟模型的热弹性波的传播特征.在各种广义热弹性理论中,热位移概念的引入使得G-N模型具有独特性质而引起广泛的关注和应用.基于G-N模型,最近一个三相延迟模型被提出.主要研究了这两种模型下第一和第二声波(耦合热弹性波)的色散和衰减特性,分析了温度场和位移场在两种模型下的振幅比和相位差.结果发现三...     

SOME RESULTS ABOUT RCK MODEL WITH ENDOGENOUSE FERTILITY

1IntroductionTheeconomicgrowthmodelwithendogenousfertilityhasbeengivenmuchattentioninthelit..at.,.[1--4)sincetheBeck'simportantpaperpublished{SJ.ButalmostallpaperinthisfieldfollowsBeck'smethodandusesOLGmodelofdiscretevariabletodealwithit.ItisraretodiscussthisproblembyusingtheRCKmodelofcontinuousvariable.Palivosrecentlygaveapaper[61tohandleitwiththeRCKmodel.FollowingPalivos'ideaandmethodandincorporatingassumptionabouttheutilitywithfertilityinGalor'srecentpaper[2],wegetanimprovedRCKmodel…     

一类带收获率的捕食-食饵模型的共存解

讨论了齐次Neumann边界条件下食饵有外界常收获率的捕食-食饵模型的共存态首先分析了正常数解的稳定性以及非常数正平衡解不存在的条件.其次,基于对平衡解的先验估计,利用拓扑度理论,给出了此平衡态系统非常数正解的存在性.     

两种群竞争和合作模型的全局渐近稳定性

其中R=r/K,r为种群的内禀自然增长率,K为环境容纳量,N为种群数量(或密度)。 考虑在周期环境中两种群竞争(合作),此时每一种群的生长由于另一种群的存在而减少(增加),可设这时i种群的环境容纳量为     

一个具有非线性接触率和种群动力学的传染病模型

本文研究了具有非线性接触率和易感类中具有Ｌｏｇｉｓｔｉｃ增长的ＳＩ传染病模型的正不变集，平衡位置以及平衡位置的稳定性。     

Relaxation of solitons in nonlinear Schrödinger equations with potential

In this paper we study dynamics of solitons in the generalized nonlinear Schrödinger equation (NLS) with an external potential in all dimensions except for 2. For a certain class of nonlinearities such an equation has solutions which are periodic in time and exponentially decaying in space, centered near different critical points of the potential. We call those solutions which are centered near the minima of the potential and which minimize energy restricted to L²-unit sphere, trapped solitons or just solitons. In this paper we prove, under certain conditions on the potentials and initial conditions, that trapped solitons are asymptotically stable. Moreover, if an initial condition is close to a trapped soliton then the solution looks like a moving soliton relaxing to its equilibrium position. The dynamical law of motion of the soliton (i.e. effective equations of motion for the soliton's center and momentum) is close to Newton's equation but with a dissipative term due to radiation of the energy to infinity.     

THE DYNAMICS OF FERTILITY IN C-K MODEL WITH ENDOGENOUS FERTILITY

lhtroduCtlonThe relatloDshlp bet W6W6en the economic gr OWOWth and population growth Is the one of mostimportant problems In the economic growth theorem．In the empirical analyses,the level offertility and the level ofincomeper caplta Is one of*the strongest observably negative correl砒ions,In cross－country dataIS]．Constructing a mathematical model to confirm the empirical indingsIs a m叼or method In thetheoretical study、BeckerI6];GalorI7]and TaTamuraW use OLG modelto discuss this…     

多时滞捕食-食饵系统正平衡点的稳定性及全局Hopf分支

本文首先用Cooke等人建立的关于超越函数的零点分布定理,研究了一类多时滞捕食-食饵系统正平衡点的稳定性及局部Hopf分支,在此基础上再结合吴建宏等人用等变拓扑度理论建立起的一般泛函微分方程的全局Hopf分支定理,进一步研究了该系统的全局Hopf分支.     

THE OPTIMAL ALLOCATION ABOUT CAPITAL AND LABOR IN THE ECONOMIC GROWTH WITH AN ENDOGENOUS TECHNICAL PROGRESS MODEL

In this paper, the balanced economic growth path was considered in a new growth model with endogenous technical progress. It is not only obtained the optimal allocation about capital and labor between a goods-producing sector and a R&D Sector, but also the optimal value of saving rates. By discussing the effect of parameters, it are also got the following results: When the rate of time preference (discount factor) rising, the fractions of Capital and labor in the goods-producing sector will increase , the fractions in R&D sector and the saving rates will decrease; When the population grows rapidly, the result will be contrary.