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

doi:10.1088/1674-1056/ac0eea

中国物理B ›› 2021, Vol. 30 ›› Issue (12): 120205-120205.doi: 10.1088/1674-1056/ac0eea

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

收稿日期:2021-01-20 修回日期:2021-05-10 接受日期:2021-06-28 出版日期:2021-11-15 发布日期:2021-12-02
通讯作者: Liang'an Huo E-mail:huohuolin@yeah.net
基金资助:
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).

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

Received:2021-01-20 Revised:2021-05-10 Accepted:2021-06-28 Online:2021-11-15 Published:2021-12-02
Contact: Liang'an Huo E-mail:huohuolin@yeah.net
Supported by:
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).

摘要/Abstract

摘要： 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.

关键词: rumor spreading, Holling II functional response function, near-optimal control, stochastic process

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.

Key words: rumor spreading, Holling II functional response function, near-optimal control, stochastic process

中图分类号: (Partial differential equations)

02.30.Jr

02.50.Ey (Stochastic processes) 02.50.Fz (Stochastic analysis) 02.30.-f (Function theory, analysis)

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[J]. 中国物理B, 2021, 30(12): 120205-120205.

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

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

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