Abstract
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.
