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In this paper, we consider a continuous-time model with discrete anddis-tributed delays to describe how two pieces of information interact inonline social networks. Sufficient conditions are carried out to illustrate thestability of each e-quilibrium. Taking time delay as a bifurcation parameter,the system undergoes a sequence of Hopf bifurcation when this parameter passesthrough a critical value. By methods of multiple scales, we prove that thedirection of Hopf bifurcation is depending on the condition which is related todelay.

Bifurcation Analysis in a Continuous-Time Information Model with Discrete and Distributed Delays