A dynamics model of coupling transmission for multiple different knowledge in multiplex networks

Firstly, this paper regards a typical system composed of the individuals in an organization and the coupling propagation of multiple different knowledge between them through informal random communication as a set of multiple-layer multiplex networks. This system composed of these individuals and the propagation of one type of knowledge among them through random communication can be abstracted as a sub-network in our multiplex networks. In addition, considering the reciprocal effect of the dissemination of a certain type of knowledge between formal organizational training and informal random communication, this paper proposes a novel S1I1R1 -S2I2R2 -... -SmImRm -... -SMIMRM dynamics model of coupling transmission for multiple knowledge in our multiplex networks with consideration of the mechanism of autonomous learning. Our model also considers the interplay between the spread of each type of knowledge among these individuals and the spread of other types of knowledge among them. Then, this paper calculates Rm0 to distinguish whether any one type of knowledge Km is continuously disseminated by these employees. After this, the paper fits the actual data of dissemination process of multiple knowledge using the proposed models and verifies that the models fit well with the actual data. Finally, this paper conducts numerical simulations of many different types of knowledge dissemination in an organization, and draws the following conclusions: Due to the limited time, attention and psychological energy required for a person to communicate and disseminate various knowledge, if the average number of times a certain type of knowledge is communicated by each individual within a unit of time is too large, then the average number of times that any other type of knowledge is communicated by each individual within a unit of time will decrease and the transmission rate of any other type of knowledge in each informal random communication between individuals will also decrease. It will lead to a negative impact on the spread of any other type of knowledge, and it may even make all other types of knowledge gradually disappear in the organization.