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Nonlinear Dynamical Analysis and Optimal Control Strategies for a New Rumor Spreading Model with Comprehensive Interventions


Posted: 2021-09-20 19:00:00
Qual Theory Dyn Syst . 2021;20(3):84. doi: 10.1007/s12346-021-00520-7. Epub 2021 Sep 15. Affiliations Expand Affiliations 1 School of Science, Guilin University of Technology, Guilin, 541004 Guangxi People's Republic of China. 2 Guangxi Colleges and Universities Key Laboratory of Applied Statistics, Guilin University of Technology, Guilin, 541004 Guangxi People's Republic of China. Item in Clipboard Tingting Li et al. Qual Theory Dyn Syst. 2021. Show details Display options Display options Format Qual Theory Dyn Syst . 2021;20(3):84. doi: 10.1007/s12346-021-00520-7. Epub 2021 Sep 15. Affiliations 1 School of Science, Guilin University of Technology, Guilin, 541004 Guangxi People's Republic of China. 2 Guangxi Colleges and Universities Key Laboratory of Applied Statistics, Guilin University of Technology, Guilin, 541004 Guangxi People's Republic of China. Item in Clipboard CiteDisplay options Display options Format Abstract In the current era, information dissemination is more convenient, the harm of rumors is more serious than ever. At the beginning of 2020, COVID-19 is a biochemical weapon made by a laboratory, which has caused a very bad impact on the world. It is very important to control the spread of these untrue statements to reduce their impact on people's lives. In this paper, a new rumor spreading model with comprehensive interventions (background detection, public education, official debunking, legal punishment) is proposed for qualitative and quantitative analysis. The basic reproduction number with important biological significance is calculated, and the stability of equilibria is proved. Through the optimal control theory, the expression of optimal control pairs is obtained. In the following numerical simulation, the optimal control under 11 control strategies are simulated. Through the data analysis of incremental cost-effectiveness ratio and infection averted ratio of all control strategies, if we consider the control problem from different perspectives, we will get different optimal control strategies. Our results provide a flexible control strategy for the security management department. Keywords: Basic reproduction number; Comprehensive interventions; Cost-effectiveness analysis; Globally asymptotically stable; Optimal control; Rumor spreading. © The Author(s), under exclusive licence to Springer Nature Switzerland AG 2021. Conflict of interest statement Conflict of interestThere are no conflicts of interest by the authors. [x] Cite Copy Format: Send To [x]

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新型コロナウイルスがin vitroで心臓細胞に感染することが最近の研究で判明

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