Title of article :
EXPANSION OF IDEAS and PROCESSES IN SOCIAL and BIOLOGICAL COMMUNITIES
Author/Authors :
Fedotov, A.M. Institute of Computational Technologies of Siberian Branch of Russian Academy of Sciences, Novosibirsk, Russia , Murzakhmetov, A.N. Department of Information Systems - M.Kh. Dulaty Taraz State University, Taraz, Kazakhstan , Dyusembaev, A.E. Department of Information Systems - Al-Farabi Kazakh National University, Almaty, Kazakhstan
Abstract :
Most modern technological, social and information systems can be viewed as
a complex system with a set of interacting components. Modeling the interaction of these
components is of considerable interest [1–4]. The paper has been investigated the expansion of
ideas under different initial conditions. The constructions of analytical solutions the equations
allows to determine of the saturation conditions for the solutions which have been founded.
The effect of standing waves since the presence of a diffusion term in the equation of cellular
automata is founded. In the numerical modeling of the processes of the dissemination of ideas,
a fact of "spotting" was found — the grouping (clustering) of agents with the same ideas. For
the biological population, the phenomenon of "spotting" was first noticed by A.A. Lyapunov.
Keywords :
expansion of ideas , diffusion of innovation , social communities , biological com- munities , dynamics of innovation diffusion , cellular automata
Journal title :
Eurasian Journal of Mathematical and Computer Applications
