Abstract and Applied Analysis
Volume 2007 (2007), Article ID 86183, 17 pages
Research Article

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

Received 9 August 2007; Accepted 13 October 2007

Academic Editor: Viorel Barbu

Copyright © 2007 Sebastian Aniţa and Carmen Oana Tarniceriu. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.


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.