Periodic solutions of a three-species periodic reaction-diffusion system
Volume 100 / 2011
Annales Polonici Mathematici 100 (2011), 179-191
MSC: 35R45, 35K57, 35B10, 35B40.
DOI: 10.4064/ap100-2-7
Abstract
We study a periodic reaction-diffusion system of a competitive model with Dirichlet boundary conditions. By the method of upper and lower solutions and an argument similar to that of Ahmad and Lazer, we establish the existence of periodic solutions and also investigate the stability and global attractivity of positive periodic solutions under certain conditions.
