Abstract: This paper deals with the increase-decrease kinetic process of insect populations by means of systems analysis, control theory and graph theory. Forecast equationsp (t) B(t) X(t) containing the control term for the dynamic of insect populations have been elaborate’!, from which a time series model of insect population dynamic for one generation has been derived. And, finally, a model in graph form for the times series of insect population dynamic (Figure 3 ) and a formula of the general singnal flow graphs for the forecast equation of insect population dynamic (Figure4 ) have been worked out In this way, a sufficient and visual description about the increase-decrease kinetic process ef insect populations can be gained. Through practical calculations, the dynamic models mentioned above proved fairly effective.