Some results about RCK model with endogenous fertility

In this paper, incorporating the fertility in the utility function and the production function, all improved Ramsey-Cass-Koopmans(RCK) model with endogenous fertility is obtained. In this model, the fertility can be expressed as a function of per capita capital and per capital consumption. It has been proved that at least one equilibrium point exists and the equilibrium point is unique under a condition. The author discusses the possibility of existing multiple equilibria, their geometrical relationship and explains the economic sense of the main results.