Existence and stability of periodic solutions for competing species diffusion systems with dirichlet boundary conditions

Abstract

The article considers positive t-periodic solutions for a periodic system of competing-species diffusion-reaction equations with zero or positive Dirichlet boundary conditions. The asymptotic orbital stability of the periodic solution is also investigated. Some results are applicable to cases when interspecies interactions are not small

Keywords:

• Existence
• stability
• diffusion systems
• Dirichlet conditions