INVESTIGATION OF TURING PATTERN EMERGENCE OF BRUSSELATOR AND S-I MODEL IN COMPLEX NETWORKS

• Main Author: Setia Putra, Prama
• Format: Theses
• Language: Indonesia
• Online Access: https://digilib.itb.ac.id/gdl/view/44552
• Institution: Institut Teknologi Bandung

Turing pattern can emerge in two dimension reaction-diusion for activator- inhibitor system. Study about Turing pattern mostly have been done for chemical reactions in continuous medium. This study is developed for diusion process through neighborhood connection in network. Here we investigate the emergence of traveling wave on Brusselator model in directed networks and adopt the S-I model into reaction-diusion in complex networks. The election of directed network aects the critical parameter of Turing pattern emergence. Besides that, the stability of equilibrium solution also aects the resulted phenomenon of Brusselator model. Investigation of S-I model has been done using undirected and directed networks. Further analysis on S-I model in the undirected networks is done using mean-eld approximation, hysteresis simulation, and single-dierentiated node analysis. Dierent phenomenon is showed by the S-I model when the directed network is used in the system and has the same behavior in undirected network. As development of S-I model in complex networks, the cross-diusion process is also adopted in this thesis. There is an opposite relation between diusion coecient and cross-diusion coecient.