Modeling and dynamic analysis of knowledge transmission process: A model considering individual perception of knowledge value

The value of knowledge is explicit and positive. When individuals perceive knowledge value, knowledge receiver can actively acquire knowledge from individuals and static knowledge sources, while knowledge owner has the tendency to transmit the information about knowledge. Considering these individual behaviors, this paper establishes a network based knowledge infection model. Specifically, the model attempts to incorporate static resources and information dissemination into the individual interaction of knowledge infection, and regards information dissemination as the intermediary of individual behavior affected by social environment. The basic regeneration number, equilibrium points and global stability rules of the model are analyzed theoretically. Theoretical analysis show that the active condition of knowledge transmission is R-0 > 1 , while if R-0 < 1 knowledge in system will eventually die out. Numerical simulations verify the theoretical analysis results, and further investigate the influence of model parameters on the knowledge transmission process. The simulation results show that information dissemination and static resources should be paid attention to in the process of knowledge dissemination. Our model has an observable feature that knowledge transmission can take off without the initiation of individual spreaders. (C) 2020 Elsevier B.V. All rights reserved.