Bifurcation Analysis in a Continuous-Time Information Model with Discrete and Distributed Delays
Dynamical Systems
2016-10-26 v1
Abstract
In this paper, we consider a continuous-time model with discrete and dis-tributed delays to describe how two pieces of information interact in online social networks. Sufficient conditions are carried out to illustrate the stability of each e-quilibrium. Taking time delay as a bifurcation parameter, the system undergoes a sequence of Hopf bifurcation when this parameter passes through a critical value. By methods of multiple scales, we prove that the direction of Hopf bifurcation is depending on the condition which is related to delay.
Cite
@article{arxiv.1610.07856,
title = {Bifurcation Analysis in a Continuous-Time Information Model with Discrete and Distributed Delays},
author = {Jingli Ren and Fangzhi Yu},
journal= {arXiv preprint arXiv:1610.07856},
year = {2016}
}