Computational and Mathematical Methods in Medicine
Volume 2012 (2012), Article ID 610124, 6 pages
http://dx.doi.org/10.1155/2012/610124
Research Article

Separable Transition Density in the Hybrid Model for Tumor-Immune System Competition

Carlo Cattani1 and Armando Ciancio2

1Department of Mathematics, University of Salerno, Via Ponte Don Melillo, 84084 Fisciano, Italy
2Department of Mathematics, University of Messina, Viale Ferdinando Stagno d'Alcontres 31, 98166 Messina, Italy

Received 16 September 2011; Accepted 8 October 2011

Academic Editor: Sheng-yong Chen

Copyright © 2012 Carlo Cattani and Armando Ciancio. 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

A hybrid model, on the competition tumor cells immune system, is studied under suitable hypotheses. The explicit form for the equations is obtained in the case where the density function of transition is expressed as the product of separable functions. A concrete application is given starting from a modified Lotka-Volterra system of equations.