Existence of a stationary solution for the modified Ward-King tumor growth model

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Abstract

This paper studies existence of a stationary solution to a tumor growth model proposed by Ward and King in 1997 and 1998, with biologically reasonable modifications. Mathematical formulation of this problem is a two-point free boundary problem of a system of ordinary differential equations, one of which is singular at boundary points. By using the Schauder fixed point theorem we prove existence of a solution for this problem. © 2005 Elsevier Inc. All rights reserved.

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Cui, S. (2006). Existence of a stationary solution for the modified Ward-King tumor growth model. Advances in Applied Mathematics, 36(4), 421–445. https://doi.org/10.1016/j.aam.2005.04.002

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