The distinct roles of initial transmission and retransmission in the persistence of knowledge in complex networks

作者:

Highlights:

• Two Markov chain methods are extended to knowledge transmission in complex networks.

• Transmission model incorporates difference between initial learning and re-learning.

• Rigorous bounds provided for the basic reproduction number R0.

• Parameters of both initial transmission and retransmission process affect R0.

• Retransmission process determines the steady state evangelical density.

摘要

•Two Markov chain methods are extended to knowledge transmission in complex networks.•Transmission model incorporates difference between initial learning and re-learning.•Rigorous bounds provided for the basic reproduction number R0.•Parameters of both initial transmission and retransmission process affect R0.•Retransmission process determines the steady state evangelical density.

论文关键词:Knowledge transmission,Complex networks,Retransmission process,Markov chain

论文评审过程:Received 12 June 2020, Revised 18 September 2020, Accepted 3 October 2020, Available online 20 October 2020, Version of Record 20 October 2020.

论文官网地址:https://doi.org/10.1016/j.amc.2020.125730