The optimal event-triggered impulsive control of a stochastic rumor spreading model incorporating time delay using the particle swarm optimization algorithm |
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| Institution: | 1. Jiangsu Collaborative Innovation Center of Atmospheric Environment and Equipment Technology (CICAEET), Nanjing University of Information Science and Technology, Nanjing, 210044, China;2. College of Automation, Chongqing University, Chongqing 400044, China;1. Artificial Intelligence Energy Research Institute, Northeast Petroleum University, Daqing, 163318, China;2. Heilongjiang Provincial Key Laboratory of Networking and Intelligent Control, Northeast Petroleum University, Daqing, 163318, China;3. Sanya Offshore Oil & Gas Research Institute, Northeast Petroleum University, Sanya 572025, China;4. School of Petroleum Engineering, Northeast Petroleum University, Daqing, 163318, China;5. Key Laboratory of Enhanced Oil and Gas Recovery (Northeast Petroleum University), Ministry of Education, Daqing, 163318, China;6. School of Physics and Electronic Engineering, Northeast Petroleum University, Daqing, 163318, China;1. School of Science, Harbin Institute of Technology, Shenzhen, China;2. School of Automation Science and Engineering, South China University of Technology, Guangzhou, China;3. Pazhou Laboratory, Guangzhou, 510330, China;4. Department of Applied Mathematics, The Hong Kong Polytechnic University, Hung Hom, Hong Kong;5. The Hong Kong Polytechnic University Shenzhen Research Institute, Shenzhen, 518057, China;1. Laboratory of Electronic Signals and Systems of Information, Faculty of Science, Sidi Mohamed Ben Abdellah-Fez University, Fez, Morocco;2. Laboratory of Engineering, Systems and Applications, National School of Applied Sciences, Sidi Mohamed Ben Abdellah-Fez University, Fez, Morocco;3. Faculty of Medicine and Pharmacy, Clinical Neuroscience Laboratory, Sidi Mohamed Ben Abdellah University, Fez, Morocco;4. Department of Radiology and Clinical Imaging, University Hospital of Fez, Fez, Morocco;5. Faculty of Medicine and Pharmacy, Department of Biophysics and Clinical MRI Methods, Sidi Mohamed Ben Abdellah University, BP. 893, Km 2.200, Sidi Hrazem Road, 30000 Fez, Morocco;6. Systems and Sustainable Environment Laboratory (SED), Faculty of Engineering Sciences (FSI) Private University of Fez (UPF), Fez, Morocco;1. School of Electrical and Information Engineering, Jiangsu University of Technology, Changzhou, 213001, China;2. School of Automation, China University of Geosciences, Wuhan, 430074, China;3. Hubei Key Laboratory of Advanced Control and Intelligent Automation for Complex Systems, Wuhan, 430074, China;4. School of Engineering, Tokyo University of Technology, Hachioji, Tokyo, 192-0982, Japan;5. School of Physics and Electronic Information, Anhui Normal University, Wuhu, 241000, China;1. Mathematical and Actuarial Sciences Department, University Tunku Abdul Rahman, Kajang, Selangor 43000, Malaysia;2. Institute for Mathematical Research, Universiti Putra Malaysia, Serdang, Selangor 43400, Malaysia |
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| Abstract: | In the digital age, rumor spreading is becoming more widespread and faster than ever before, and results in the more social panic and instability. Because of this, it is crucial to implement effective control strategies to prevent the continued spread of rumors, and avoid all kinds of unnecessary harm caused by rumors. In this paper, a stochastic rumor spreading model incorporating time delay within the framework of the event-triggered impulsive control (ETIC) strategies are presented. To begin with, the stability problem of this model is discussed and proved. Besides, the optimal ETIC strategies are explored by the particle swarm optimization (PSO) algorithm. Furthermore, some numerical simulations are performed to illustrate the optimal ETIC strategies of the given model. In addition, a real case is used to prove the validity of given model. Finally, the following conclusions are drawn that the stochastic model is feasible and consistent with actual rumor propagation trends, and ETIC strategies can help control rumors effectively. Meanwhile, different ETIC strategies should be used according to the different situations of rumor spreading. For instance, control strategies need to be more frequent and robust when transmission rates are higher or time delay are shorter. |
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