Some new results in population control

This paper follows the frequency-domain model proposed by Song and Yu (1985) and Kwong (1988). It is believed that the frequency-domain model reveals more clearly the relationships between various parameters in the population system. Unless specified, we use the demographic data in China (1978). A brief introduction to the frequency-domain model of population system is introduced. A reduced-order model is then obtained. Based on this model, a simple stability analysis is carried out which gives results similar to those of Song et al. where functional analysis was used, and Kwong where circle criterion was used. Two algorithms are also summarized in this paper. We also investigate the effects of average fertility rate, fertility pattern, and average fertility rate on the stability and dynamics of population system