Hybrid control strategy and optimal control for rumor spreading

Xiangning Li, Si Lu, Zhenhua Yu, Shixing Wu and Feifei Yang

Chaos, Solitons & Fractals, 2025, vol. 195, issue C

Abstract: The malicious rumor has adverse effect in public interests, social order and public safety. Therefore, it is imperative to put forward an effective method of restrain rumor for reducing economic losses and maintaining social stability. The existing methods of control rumor have the shortcomings in single control strategy and neglect of the control cost. To improve the effectiveness of the scheme for controlling rumor and decreasing the control cost, an effective rumor spreading hybrid control strategy is proposed by combining the protection and block strategies. By utilizing the optimal control theory, the method minimizes the expenditure in containing rumors. The existence of the optimal control is proved based on the Pontryagin’s minimum principle and an optimal control system is obtained. The proposed rumor hybrid control strategy theory is verified by analyzing equilibrium and stability. The effectiveness of the hybrid control strategy is further tested by a series of experiments. The results illustrate that the proposed strategy can more effectively control rumors than the single block and protection strategies and reduce the expenditure of the control strategy. The research results will provide some effective theoretical schemes for solving the problem of restraining rumors in real social networks.

Keywords: Complex systems; Biomathematical model; Rumor spreading; Control strategy; Optimal control (search for similar items in EconPapers)
Date: 2025
References: Add references at CitEc
Citations:

Downloads: (external link)
http://www.sciencedirect.com/science/article/pii/S0960077925001936
Full text for ScienceDirect subscribers only

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:eee:chsofr:v:195:y:2025:i:c:s0960077925001936

DOI: 10.1016/j.chaos.2025.116180

Access Statistics for this article

Chaos, Solitons & Fractals is currently edited by Stefano Boccaletti and Stelios Bekiros

More articles in Chaos, Solitons & Fractals from Elsevier
Bibliographic data for series maintained by Thayer, Thomas R. ().