Modeling of knowledge transmission by considering the level of forgetfulness in complex networks

Bin Cao, Shui-hua Han and Zhen Jin

Physica A: Statistical Mechanics and its Applications, 2016, vol. 451, issue C, 277-287

Abstract: In this study, we establish a general model by considering the level of forgetfulness during knowledge transmission in complex networks, where the level of forgetfulness depends mainly on the number in a crowd who possess knowledge, while the saturated incidence is also considered. In theory, we analyze the stability of the equilibrium points and the transmission threshold R0 is also given. If R0>1, then knowledge can ​be transmitted, but if not, it will become completely extinct. In addition, we performed some numerical simulations to verify the reasonability of the theoretical analysis. The results of the simulations also suggest ​that the proportion of the crowd with knowledge will be increased under a better cultural atmosphere.

Keywords: Level of forgetfulness; Knowledge transmission; Ordinary differential system; Transmission threshold (search for similar items in EconPapers)
Date: 2016
References: View references in EconPapers View complete reference list from CitEc
Citations: View citations in EconPapers (17)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:451:y:2016:i:c:p:277-287

DOI: 10.1016/j.physa.2015.12.137

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