SISL and SIRL: Two knowledge dissemination models with leader nodes on cooperative learning networks

Jingjing Li, Yumei Zhang, Jiayu Man, Yun Zhou and Xiaojun Wu

Physica A: Statistical Mechanics and its Applications, 2017, vol. 468, issue C, 740-749

Abstract: Cooperative learning is one of the most effective teaching methods, which has been widely used. Students’ mutual contact forms a cooperative learning network in this process. Our previous research demonstrated that the cooperative learning network has complex characteristics. This study aims to investigating the dynamic spreading process of the knowledge in the cooperative learning network and the inspiration of leaders in this process. To this end, complex network transmission dynamics theory is utilized to construct the knowledge dissemination model of a cooperative learning network. Based on the existing epidemic models, we propose a new susceptible–infected–susceptible-leader (SISL) model that considers both students’ forgetting and leaders’ inspiration, and a susceptible–infected–removed-leader (SIRL) model that considers students’ interest in spreading and leaders’ inspiration. The spreading threshold λcand its impact factors are analyzed. Then, numerical simulation and analysis are delivered to reveal the dynamic transmission mechanism of knowledge and leaders’ role. This work is of great significance to cooperative learning theory and teaching practice. It also enriches the theory of complex network transmission dynamics.

Keywords: Cooperative learning network; Knowledge dissemination model; Leaders’ inspiration (search for similar items in EconPapers)
Date: 2017
References: View references in EconPapers View complete reference list from CitEc
Citations: View citations in EconPapers (11)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:468:y:2017:i:c:p:740-749

DOI: 10.1016/j.physa.2016.11.126

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