Abstract and Applied Analysis
Volume 2007 (2007), Article ID 86183, 17 pages
Stabilization for a Periodic Predator-Prey System
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.