QUALITATIVE ANALYSIS OF A SOLOW MODEL ON TIME SCALES

In this paper, we further analyze the Solow model on time scales. This model was recently introduced by the authors and it combines the continuous and discrete Solow models and ex- tends them to dierent time scales. Assuming constant labor force growth in the Solow model, we establish a comparison theorem. Then, under the more realistic assumption that the labor force growth rate is a monotonically decreasing function, we discuss the comparison theorem as well as stability and monotonicity of the solutions of the Solow model. The economic meanings are also indicated in some remarks.