A simple phenomenological model for time evolution of social networks

4th International Workshop on Statistical Physics and Mathematics for Complex Systems

物理学;数学

Jiang, J.^1 ; Wang, Q.A.^2 ; Li, W.^3 ; Cai, X.^3

Research Center of Nonlinear Science, College of Mathematics and Computer Science, Wuhan Textile University, Wuhan

430200, China^1

Institut Supérieur des Matériaux et Mécaniques Avancés, 44, Avenue F.A. Bartholdi, Le Mans

72000, France^2

Complexity Science Center, Institute of Particle Physics, Hua-Zhong (Central China) Normal University, Wuhan

430079, China^3

关键词: Local interactions;    Network evolution;    Phenomenological modeling;    Stationary state;    Time evolutions;    Two parameter;   

Others  :  https://iopscience.iop.org/article/10.1088/1742-6596/604/1/012010/pdf
DOI  :  10.1088/1742-6596/604/1/012010

来源: IOP

【 摘 要 】

Inspired by the maxim "long union divides and long division unites", a phenomenological model with the simplification of real social networks is proposed to explore the evolutionary features of these networks composed of the entities whose behaviors are dominated by two events: union and division. The nodes are endowed with some attributes such as identity, ingredient, richness, age and internal diversity, which determine collectively the evolution in a probabilistic way. Through the local interaction of two events, a stationary state of network is reached as a constant amount of nodes survive with no more event happened in the network, like a situation of tripartite confrontation. Besides, the number of survived nodes and the speed of network evolution can be controlled by two parameters.