2006 年 64 巻 2 号 p. 469-478
The age model of cellular communities is considered. Delay-differential equations and their model systems for cellular communities are constructed and quantitatively analyzed. It is determined that there are the following states: rest, stationary state, Poincar´e type limit cycles, dynamic chaos and “black hole” effect. Regularities for the origin of dynamic chaos, “r-windows” regions and prediction problems for the determination of destructive changes - “black hole” effect, are investigated. The results of the developed approaches are applied to the quantitative analysis of cellular communities and the delay-differential equations of animal and plant organisms are considered.