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Abstract and Applied Analysis
Volume 2012 (2012), Article ID 590326, 13 pages
http://dx.doi.org/10.1155/2012/590326
Research Article

Analysis of Wave Solutions of an Adhenovirus-Tumor Cell System

1Laboratoire des Interactions Ecotoxicologie, Biodiversité, Ecosystèmes, Université de Lorraine, CNRS UMR 7146, 8 rue du Général Delestraint, 57070 METZ, France
2Laboratoire de Mathématiques Raphaël Salem, Université de Rouen, UMR 6085 CNRS, Avenue de l'Université, P.O. Box 12, 76801 Saint Etienne du Rouvray, France

Received 2 December 2011; Accepted 13 February 2012

Academic Editor: Muhammad Aslam Noor

Copyright © 2012 Baba Issa Camara and Houda Mokrani. 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.

Abstract

We discuss biological background and mathematical analysis of glioma gene therapy for contributing to cancer treatment. By a reaction-diffusion system, we model interactions between gliom cells and viruses. We establish some sufficient conditions on model parameters which guarantee the permanence of the system and the existence of periodic solutions. Our study has experimental and theoretical implication in the perspective management strategy of therapy.