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Accurately describing the knowledge dissemination process is significant to enhance the performance of personalized education. In this study, considering the effect of periodic teaching activities on the learning process, we propose a periodic impulsive knowledge dissemination system to regenerate the knowledge dissemination process. Meanwhile, we put forward learning effectiveness which is an outcome of a trade-off between the benefits and costs raised by knowledge dissemination as objectivedoi:10.1371/journal.pone.0178024 pmid:28665961 pmcid:PMC5493297 fatcat:xyvoccktpbdqzbjxfse6epzm64