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Updated: Oct 19, 2025

WheelCon: A Wheel Control-Based Gaming Platform for Studying Human Sensorimotor Control

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

Tingting Li^1,2, Youming Guo^1,2

¹School of Science, Guilin University of Technology, Guilin, 541004 Guangxi People's Republic of China.

Qualitative Theory of Dynamical Systems

|September 20, 2021

Summary

This study introduces a new model to combat rumor spreading, like COVID-19 misinformation, using interventions such as education and legal punishment. Different strategies offer flexible control for managing public health information.

Keywords:

Basic reproduction number Comprehensive interventions Cost-effectiveness analysis Globally asymptotically stable Optimal control Rumor spreading

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Last Updated: Oct 19, 2025

WheelCon: A Wheel Control-Based Gaming Platform for Studying Human Sensorimotor Control

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Published on: August 15, 2020

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Area of Science:

Mathematical modeling
Epidemiology
Public health

Background:

The rapid spread of misinformation, exemplified by COVID-19 rumors, poses significant societal harm.
Controlling the dissemination of untrue statements is crucial for mitigating negative impacts on public well-being.

Purpose of the Study:

To propose and analyze a novel mathematical model for rumor spreading incorporating comprehensive interventions.
To quantitatively assess the effectiveness of various control strategies against misinformation.

Main Methods:

Development of a rumor spreading model with parameters for background detection, public education, official debunking, and legal punishment.
Calculation of the basic reproduction number and stability analysis of model equilibria.
Application of optimal control theory to derive optimal intervention strategies.
Numerical simulations of 11 distinct control strategies.

Main Results:

The basic reproduction number was calculated, and the stability of equilibria was mathematically proven.
Optimal control pairs were derived, leading to the simulation of various intervention strategies.
Analysis of incremental cost-effectiveness and infection averted ratios revealed that optimal strategies vary depending on the perspective taken.

Conclusions:

The study provides a flexible framework for developing effective control strategies against rumor propagation.
Findings support tailored approaches to misinformation management based on specific public health or security objectives.