Communication nets in random behavior

Concepts of random neural nets, as treated in mathematical biophysics, are used to describe the random behavior of communication nets. Application of the steady-state as well as message spread threshold concepts to communication nets are considered. The steady state here implies a systematic and regular spread of the message while the spread threshold, referred to as the "ignition" threshold in neural nets, determines the required threshold minimum number of links ensuring, eventually, a steady-state activity, namely, a regular spread of the message throughout the net. The derived formulas offer useful computational tools in the treatment of strategic nondirectory nets in random behavior. Section II discusses the use of the spread of contagion theory and Section III deals with the random behavior of mobile communication nets, with directional and nondirectional antennas.