Turing Instability in the Ibaguner Fractal Operator (IFO) Activator-Inhibitor System

Key Points

• This research aims to establish the Turing instability threshold for the Ibaguner fractal operator system.
• Derived the Turing instability threshold for the IFO Master Reaction-Diffusion system
• Calculated the critical wave-number
• Analyzed the relationship between the Ibaguner Constant and diffusion-driven patterns
• Established exact threshold values for Turing instability
• Derived a closed-form expression for critical wave-number
• Connected specific constants to pattern formation dynamics