Systems Biology Commons^™

Global Attractors And Random Attractors Of Reaction-Diffusion Systems, Junyi Tu

USF Tampa Graduate Theses and Dissertations

The dissertation studies about the existence of three different types of attractors of three multi-component reaction-diffusion systems. These reaction-diffusion systems play important role in both chemical kinetics and biological pattern formation in the fast-growing area of mathematical biology.

In Chapter 2, we prove the existence of a global attractor and an exponential attractor for the solution semiflow of a reaction-diffusion system called Boissonade equations in the L² phase space. We show that the global attractor is an (H, E) global attractor with the L^∞ and H² regularity and that the Hausdorff dimension and the …