Asymptotic Behavior of a Periodic Diffusion System
Songsong Li, Xiaofeng Hui · Journal of Inequalities and Applications · 2010
We study the asymptotic behavior of the nonnegative solutions of a periodic reaction diffusion system. By obtaining a priori upper bound of the nonnegative periodic solutions of the corresponding periodic diffusion system, we establish the existence of the maximum periodic solution and the asymptotic boundedness of the nonnegative solutions of the initial boundary value problem.