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Start Over Author "zhu, Huiyan" Topic existence Journal international journal of biomathematics

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1. Traveling wavefronts of a nonlinear reaction-diffusion model of tumor growth under the acid environment.

Author

Zhu, Huiyan, Luo, Yang, and Wang, Xiufang

Subjects
*WAVEFRONTS (Optics), *REACTION-diffusion equations, *TUMOR growth, *FREDHOLM equations, *FIXED point theory
Abstract

In this paper, a reaction-diffusion model describing temporal development of tumor tissue, normal tissue and excess H+ ion concentration is considered. Based on a combination of perturbation methods, the Fredholm theory and Banach fixed point theorem, we theoretically justify the existence of the traveling wave solution for this model. [ABSTRACT FROM AUTHOR]

Published
2014
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