Abstract:

In this paer. incorporating the fertility in the utility function and the production function, an improved Ramsey-Cass-Koopmans(RCK) model with engenous fertility is obtained. In this model ,the fertility can be expressed as a function of per capita and per capital consumption.It has been proved that at least one equilibruim 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 economical sense of the main results.

Key words: RCK Model, endogenouse fertility, dynamical system, equilbrium