Abstract and Applied Analysis
Volume 2007 (2007), Article ID 86183, 17 pages
doi:10.1155/2007/86183
Stabilization for a periodic predator-prey system
Sebastian Aniţa1
and Carmen Oana Tarniceriu2
1Institute of Mathematics “O. Mayer”, Faculty of Mathematics, University “AL.I. Cuza”, IaŞI 700506, Romania
2Faculty of Mathematics, University “AL.I. Cuza”, IaŞI 700506, Romania
Abstract
A reaction-diffusion system modelling a predator-prey system in a periodic environment is considered. We are concerned in stabilization to zero of one of the components of the solution, via an internal control acting on a small subdomain, and in the preservation of the nonnegativity of both components.