Dynamic analysis and optimal control of competitive information dissemination model

Area of Science:

• Information Science
• Mathematical Modeling
• Network Dynamics

Background:

• Information dissemination is crucial for societal functions.
• Managing conflicting information is a significant challenge.
• Understanding information spread dynamics is essential.

Purpose of the Study:

• To develop a competitive information dissemination model.
• To analyze the stability and control of information spread.
• To identify optimal strategies for managing information flow.

Main Methods:

• Established a competitive information dissemination model.
• Utilized the next-generation matrix method to calculate the basic reproduction number (R₀).
• Applied Routh-Hurwitz stability criterion and Liapunov's second method for stability analysis.
• Employed Pontryagin's extreme value principle for optimal control parameter determination.

Main Results:

• Determined system equilibrium conditions and performed stability analysis.
• Identified optimal control parameters (influence and isolation rates).
• Numerical simulations demonstrated that competitive information suppresses other information during dissemination.

Conclusions:

• The competitive information dissemination model provides a framework for understanding information dynamics.
• Dominant information can effectively suppress competing information.
• Findings offer valuable insights for information management and policy-making.