Parameter identification method of a reaction-diffusion network information propagation system based on optimization theory

With the development of the times, rumors spread rapidly on the Internet. Firstly, this paper establishes a reaction-diffusion system with Allee effect to describe the rumor spreading process and derives the necessary conditions for the emergence of Turing bifurcation. Next, a parameter identification approach utilizing optimal control theory is shown. Ultimately, the impact of the magnitude of the certain parameters in the objective function on parameter identification is examined through numerous parameter identifications in continuous space and various complex networks. Additionally, the convergence rates and error magnitudes of different algorithms for parameter identification are studied across different spatial structures.