Berlin 2018 – wissenschaftliches Programm

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DY: Fachverband Dynamik und Statistische Physik

DY 37: Networks: From Topology to Dynamics (joint session SOE/DY/BP) (joint session SOE/CPP/BP/DY)

DY 37.7: Vortrag

Mittwoch, 14. März 2018, 11:00–11:15, MA 001

Discrete reaction-diffusion models of innovations using multi-particles in networks. — •Yuki Kawasaki and Hirotada Ohashi — The University of Tokyo, Tokyo, Japan

Reaction-diffusion is a fundamental process underlying many social and economic phenomena. This process has been widely studied in continuous physical space. Different from physical and chemical phenomena, social and economic processes occur in networks connecting individuals, firms and organizations. In this study, we model reaction-diffusion processes of innovations in structured networks employing multi-particles that represent innovations and some kind of enzymes. The reaction process is that several particles react on nodes according to reaction rules and the diffusion process is that particles travel randomly to neighboring nodes. This model is able to reproduce macroscopic behaviors of systems taking account of microscopic relationships between individual particles. Simulation results are obtained for various network structures including small-world and scale-free networks. Next we extend our model to deal with simultaneous reaction and diffusion of different kinds of particles. This model can describe competition and cooperation between innovations in networks including predator-prey processes.