On the synthesis of a colony of beetles with linear growth

The dynamic system of field and bugs - colony - them is considered. Bugs live on the field that is modeled by integer lattice in each sell of which there are the same count of the food for bugs at the first moment. Bugs must move around field or eat food or divide or dye according to the some algorithm moreover all activities spending energy. This system is modeled by cellular automaton. The colony whose linearized population size infinite number of times crossing line from some class built in this work.