Bifurcation,several equilibria and multiple growth paths in the solow model with endogenous demographic transition

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 parameter values. Therefore, the economy described by the model presents multiple growth paths and “Malthusian Poverty Trap” when the technological level or the saving rate is low.