Bifurcation,Several Equilibria and Multiple Growth Paths in the Solow Model with Endogenous Demographic Transition  

作　　者：CAI Donghan 

机构地区：[1]School of Mathematics and Statistics, Wuhan University,Wuhan 430072, Hubei, China

出　　处：《Wuhan University Journal of Natural Sciences》2011年第1期1-3,共3页武汉大学学报（自然科学英文版）

基　　金：Supported by the National Natural Science Foundation of China (70871094);the Humanities and Social Sciences Research Item of Ministry of Education of China (09YJA790155)

摘　　要：In this paper,the endogenous demographic transition function is integrated into the classical Solow model. It is proven that the differential equation which describes the model at least has a nonzero equilibrium. The differential equation has several equilibria when the technological level or the saving rate is not high enough and undergoes bifurcation at some specified parame-ter values. Therefore,the economy described by the model pre-sents multiple growth paths and ＂Malthusian Poverty Trap＂ when the technological level or the saving rate is low.In this paper,the endogenous demographic transition function is integrated into the classical Solow model. It is proven that the differential equation which describes the model at least has a nonzero equilibrium. The differential equation has several equilibria when the technological level or the saving rate is not high enough and undergoes bifurcation at some specified parame-ter values. Therefore,the economy described by the model pre-sents multiple growth paths and ＂Malthusian Poverty Trap＂ when the technological level or the saving rate is low.

关 键 词：BIFURCATION Solow model demographic transition several equilibria multiple growth paths Malthusian Poverty Trap 

分 类 号：O29[理学—应用数学]