Recently, as the first authors, Ph.D students Cheng Yingying and Dong Yafang who majors in business sciences and engineering respectively published papers in a top journal: Chaos, Solitons & Fractals (IF：9.922). Professor Huo Liangan was the corresponding author, professor Zhao Laojun was the co-author. Chaos, Solitons&Fractals was published by the international famous press Elsevier, which has a significant impact on the following subjects such as nonlinear dynamics and complex matter and networks.
With the rapid development of new media technology, the network media platform has become a hub for all kinds of network information, and it has gradually become the norm for people to use the Internet to obtain information. In the huge jumbled information network, malicious rumors are flying all over the world.
Cheng Yingying published a paper titled “Stability analysis and optimal control of rumor spreading model under media coverage considering time delay and pulse vaccination”. In this paper, regular popular science education is introduced into the rumor spreading model as periodic pulse vaccination. On this basis, an improved rumor spreading model under media coverage is constructed in combination with time delay. Two thresholds are calculated by using the comparison theorem of impulse differential equation. The conditions of global attractively and persistence of rumor spreading are analyzed. Then, the optimal control problem under pulse vaccination is designed to minimize the rumor spreading scale and control cost, then the optimality conditions are obtained by using the Pontryagin's minimum principle. Finally, the theoretical results are verified by numerical simulations.
Dong Yafang published a paper titled “An improved two-layer model for rumor propagation considering time delay and event-triggered impulsive control strategy”. In this paper, they construct an improved two-layer model considering time delay to describe the dynamic process of rumor propagation in multiple channels. They verify the reasonableness of the above theoretical results through numerical simulations.
The work was supported by National Natural Science Foundation of China, the Natural Science Foundation of Shanghai and Shanghai Soft Science Research.