Modeling and analysis knowledge transmission process in complex networks by considering internalization mechanism

Internalization mechanism is inevitable in the process of knowledge transmission. To take the internalization mechanism into account in knowledge transmission process in complex networks, a novel RHS knowledge transmission model is proposed, and a knowledge holder state representing the completion of knowledge internalization is incorporated into the state changes of knowledge receiver and knowledge spreader. From theoretical study, the equilibria and basic reproduction number R-0 of the new model are obtained. Furthermore, we prove that the knowledge loss equilibrium is locally and globally asymptotically stable when R-0 is less than one, but knowledge is permanence and the unique knowledge endemic equilibrium is globally attractive when R-0 is bigger than one. Finally, some numerical simulations are conducted to verify the theoretical analysis results, and the influence of model parameters on the knowledge transmission process is investigated more intuitively. The results are very helpful for putting forward some suggestions to promote knowledge transmission. (C) 2020 Elsevier Ltd. All rights reserved.

Automated summary

The study introduces a novel RHS knowledge transmission model and analyzes its stability theoretically and numerically. Results show the impact of the basic reproduction number R-0 on the knowledge transmission process, providing suggestions for promoting knowledge transmission.