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September  2004, 3(3): 331-352. doi: 10.3934/cpaa.2004.3.331

The evolution of a tumor cord cell population

Janet Dyson 1, , Rosanna Villella-Bressan 2, and  G. F. Webb 3,

1. 

Department of Mathematics, Mansfield College, Oxford University, Oxford, England
2. 

Dipartimento di Matematica Pura e Applicata, Universita' di Padova, Padua
3. 

Department of Mathematics, Vanderbilt University, Nashville, TN 37235, United States

Received  March 2003 Revised  February 2004 Published  June 2004

A model of a tumor cord cell population is analyzed in which individual cells are distinguished by cell age and radial position. The existence and asymptotic behavior of solutions are investigated. It is proved that solutions are asymptotically eventually periodic.
Keywords: nonlinear rst order partial di erential equation, asymptotic behavior., Tumor cord cell population.
Mathematics Subject Classification: Primary 34l60, 92D25, 92C5.
Citation: Janet Dyson, Rosanna Villella-Bressan, G. F. Webb. The evolution of a tumor cord cell population. Communications on Pure & Applied Analysis, 2004, 3 (3) : 331-352. doi: 10.3934/cpaa.2004.3.331
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