Please wait a minute...
Chin. Phys. B, 2021, Vol. 30(12): 120205    DOI: 10.1088/1674-1056/ac0eea
GENERAL Prev   Next  

Near-optimal control of a stochastic rumor spreading model with Holling II functional response function and imprecise parameters

Liang'an Huo(霍良安) and Xiaomin Chen(陈晓敏)
Business School, University of Shanghai for Science and Technology, Shanghai 200093, China
Abstract  In recent years, rumor spreading has caused widespread public panic and affected the whole social harmony and stability. Consequently, how to control the rumor spreading effectively and reduce its negative influence urgently needs people to pay much attention. In this paper, we mainly study the near-optimal control of a stochastic rumor spreading model with Holling II functional response function and imprecise parameters. Firstly, the science knowledge propagation and the refutation mechanism as the control strategies are introduced into a stochastic rumor spreading model. Then, some sufficient and necessary conditions for the near-optimal control of the stochastic rumor spreading model are discussed respectively. Finally, through some numerical simulations, the validity and availability of theoretical analysis is verified. Meanwhile, it shows the significance and effectiveness of the proposed control strategies on controlling rumor spreading, and demonstrates the influence of stochastic disturbance and imprecise parameters on the process of rumor spreading.
Keywords:  rumor spreading      Holling II functional response function      near-optimal control      stochastic process  
Received:  20 January 2021      Revised:  10 May 2021      Accepted manuscript online:  28 June 2021
PACS:  02.30.Jr (Partial differential equations)  
  02.50.Ey (Stochastic processes)  
  02.50.Fz (Stochastic analysis)  
  02.30.-f (Function theory, analysis)  
Fund: Project supported by the Program for Professor of Special Appointment (Eastern Scholar) at Shanghai Institutions of Higher Learning, and the Project for the Natural Science Foundation of Shanghai, China (Grant No. 21ZR1444100), and the Project for the National Natural Science Foundation of China (Grant Nos. 72174121, 71774111, 71871144, and 71804047).
Corresponding Authors:  Liang'an Huo     E-mail:  huohuolin@yeah.net

Cite this article: 

Liang'an Huo(霍良安) and Xiaomin Chen(陈晓敏) Near-optimal control of a stochastic rumor spreading model with Holling II functional response function and imprecise parameters 2021 Chin. Phys. B 30 120205

[1] Ali I 2020 Med. Anthropol. 39 376
[2] Shehzad K, Liu X X and Kazouz H 2020 Finance Res. Lett. 36 101669
[3] Ali I 2020 Med. Anthropol. 39 1
[4] Khan R S, Rehman H U and Rehman I U 2020 Appl. Spectroscopy Rev. 55 805
[5] Suh E H, Bodnar D J, Melville L D, Sharma M and Farmer B M 2020 Emerg. Med. J. 37 700
[6] Siess W, Hundelshausen P V and Lorenz R 2020 Platelets 31 989
[7] Daley D J and Kendal D G 1964 Nature 204 1118
[8] Maki D P 1980 Bulletin of the American Mathematical Society 3 766
[9] Moreno Y, Nekovee M and Pacheco A F 2004 Phys. Rev. E 69 066130
[10] Zanette D H 2002 Phys. Rev. E 65 041908
[11] Zhu L H and Guan G 2019 Phys. A 533 121953
[12] Li T, Wang Y M and Guan Z H 2014 Commun. Nonlinear. Sci. Numer. Simul. 19 686
[13] Zhang Y H and Zhu J J 2019 Phys. A 536 120981
[14] Zhang Y 2017 Proceedings of the 10th International Conference on Management Science and Engineering Management, August, 2017, Singapore, p. 1607
[15] Deng S and Li W 2017 Phys. Rev. E. 95 042306
[16] Li W, Gu J and Cai X 2008 Chin. Phys. Lett. 25 2303
[17] Zhao L J, Xie W L, Gao H O, Qiu X Y, Wang X L and Zhang S H 2013 Phys. A 392 6146
[18] Venkatramanan S and Kumar A 2011 Small 9 4061
[19] Zhu L H and Guan G 2019 Phys. A 533 121953
[20] Zhu L, Zhou M and Zhang Z 2020 Nonlinear Sci. 30 2545
[21] Chai Y, Wang Y G and Zhu L 2021 IEEE Transactions on Information Forensics and Security 99 2621
[22] Xiang C, Huang J C, Ruan S G and Xiao D M 2020 J. Diff. Equ. 268 4618
[23] Zhu L H and Huang X Y 2020 Commun. Theor. Phys. 72 13
[24] Huo L A, Cheng Y Y, Liu C and Ding F 2018 Physica A 506 24
[25] Jia F, Lv G and Zou G 2018 Math. Method. Appl. Sci. 41 1661
[26] Jia F, Lv G and Zou G 2018 Phys. A 490 613
[27] Huo L A and Dong Y F 2020 Math. Method. Appl. Sci. 43 6903
[28] Hou Y C, Xie H and Ma J F 2013 Int. J. Adv. Comp.Tech. 5 376
[29] Lin Y G, Wang X M, Hao F, Jiang Y C, Wu Y L, Min G Y, He D J, Zhu S C and Zhao W 2021 IEEE Transactions on Systems, Man, and Cybernetics:Systems. 51 3725
[30] Liu F and Buss M 2020 IEEE Trans. Contr. Net. Sys. 99 1
[31] Zhou X Y 1998 SIAM J. Contr. Opti. 36 929
[32] Guo W J, Zhang Q M and Rong L B 2018 Inf. Sci. 467 670
[33] Dhar J, Jain A and Gupta V K 2016 Social Network Analysis and Mining 6 1
[34] Huo L A and Song N X 2016 Phys. A 461 73
[35] Das A and Pal M 2017 J. Comput. Appl. Math. 56 477
[36] Mu X J, Zhang Q M and Rong L B 2019 J. Franklin Inst. 356 11385
[37] Wang S H, Yu H G, Dai C J and Zhao M 2020 Appl. Math. 11 407
[38] Zu L, Jiang D Q and Donal O R 2019 Acta. Appl. Math. 161 89
[39] Xiang C, Huang J C, Ruan S G and Xiao D M 2020 J. Diff. Equ. 268 4618
[40] Kumar R, Sharma A K and Agnihotri K 2020 Math. Method. Appl. Sci. 43 2056
[41] Clarke F H 1983 Optimization and nonsmooth analysis (John Wiley and Sons)
[42] Cao B Q, Shan M J, Zhang Q M and Wang W M 2017 Phys. A 486 127
[43] Mao X 2006 Stochastic Differential Equations and Applications, 2nd edn (Academic Press)
[44] Zhou Y L, Yuan S L and Zhao D L 2016 J. Comput. Appl. Math. 275 255
[45] Pal D, Mahaptra G S and Samanta G P 2013 Math. Bio. 41 2
[46] Huang J, Li X and Wang G 2010 Automatica 46 397
[47] Yong J and Zhou X 1999 Stochastic Controls:Hamiltonian Systems and HJB Equations 46 1846
[48] Mu X J and Zhang Q M 2019 Math. Method. Appl. Sci. 42 767
[49] Uzunca M, Kkseyhan T, Ycel H and Karasozen B 2017 J. Comput. Appl. Math. 73 2151
[1] Ratchet transport of self-propelled chimeras in an asymmetric periodic structure
Wei-Jing Zhu(朱薇静) and Bao-Quan Ai(艾保全). Chin. Phys. B, 2022, 31(4): 040503.
[2] Dynamics and near-optimal control in a stochastic rumor propagation model incorporating media coverage and Lévy noise
Liang'an Huo(霍良安) and Yafang Dong(董雅芳). Chin. Phys. B, 2022, 31(3): 030202.
[3] Dynamical behavior and optimal impulse control analysis of a stochastic rumor spreading model
Liang'an Huo(霍良安) and Xiaomin Chen(陈晓敏). Chin. Phys. B, 2022, 31(11): 110204.
[4] Dynamics of a stochastic rumor propagation model incorporating media coverage and driven by Lévy noise
Liang-An Huo(霍良安), Ya-Fang Dong(董雅芳), and Ting-Ting Lin(林婷婷). Chin. Phys. B, 2021, 30(8): 080201.
[5] Transport of velocity alignment particles in random obstacles
Wei-jing Zhu(朱薇静), Xiao-qun Huang(黄小群), Bao-quan Ai(艾保全). Chin. Phys. B, 2018, 27(8): 080504.
[6] Stochastic stability of the derivative unscented Kalman filter
Hu Gao-Ge (胡高歌), Gao She-Sheng (高社生), Zhong Yong-Min (种永民), Gao Bing-Bing (高兵兵). Chin. Phys. B, 2015, 24(7): 070202.
[7] Stability and performance analysis of a jump linear control system subject to digital upsets
Wang Rui (王蕊), Sun Hui (孙辉), Ma Zhen-Yang (马振洋). Chin. Phys. B, 2015, 24(4): 040201.
[8] Current and efficiency of Brownian particles under oscillating forces in entropic barriers
Ferhat Nutku, Ekrem Aydıner. Chin. Phys. B, 2015, 24(4): 040501.
[9] Lyapunov function as potential function:A dynamical equivalence
Yuan Ruo-Shi (袁若石), Ma Yi-An (马易安), Yuan Bo (苑波), Ao Ping (敖平). Chin. Phys. B, 2014, 23(1): 010505.
[10] Random-phase-induced chaos in power systems
Qin Ying-Hua(覃英华), Luo Xiao-Shu(罗晓曙), and Wei Du-Qu(韦笃取). Chin. Phys. B, 2010, 19(5): 050511.
[11] Stochastic systems with cross-correlated Gaussian white noises
Wang Cheng-Yu(王成玉), Gao Yun(高云), Song Yu-Min(宋玉敏), Zhou Peng(周鹏), and Yang Hai(杨海). Chin. Phys. B, 2010, 19(11): 116401.
[12] Multi-fractal analysis of highway traffic data
Shang Peng-Jian(商朋见) and Shen Jin-Sheng(申金升). Chin. Phys. B, 2007, 16(2): 365-373.
[13] Pair correlations in scale-free networks
Huang Zhuang-Xiong (黄壮雄), Wang Xin-Ran (王欣然), Zhu Han (朱涵). Chin. Phys. B, 2004, 13(3): 273-278.
[14] Stochastic resonance in a financial model
Mao Xiao-Ming (毛晓明), Sun Kai (孙锴), Ouyang Qi (欧阳颀). Chin. Phys. B, 2002, 11(11): 1106-1110.
No Suggested Reading articles found!