Turing instability analysis and parameter identification based on optimal control and statistics method for a rumor propagation system (Q6555042)

The paper studies Turing instability analysis and parameter identification based on optimal control and statistics method for a rumor propagation system. It establishes a reaction-diffusion system for rumor propagation considering contact transmission efficiency and media correction mechanisms, where compartments like susceptible individuals, infected individuals and removed individuals are factored in. Necessary conditions for the existence of the positive equilibrium points and Turing instability are presented. It establishes the first-order necessary conditions for parameter identification based on optimal control. Some numerical simulations are presented to validate conclusions regarding Turing instability. Parameter identification is studied on the target pattern in both continuous space and network.