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

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成果类型:
期刊论文
作者:
Zhu, Huiyan*;Luo, Yang;Wang, Xiufang
通讯作者:
Zhu, Huiyan
作者机构:
[Wang, Xiufang; Zhu, Huiyan] Univ South China, Sch Math & Phys, Hengyang 421001, Hunan, Peoples R China.
[Luo, Yang] Univ South China, Sch Comp Sci & Technol, Hengyang 421001, Hunan, Peoples R China.
通讯机构:
[Zhu, Huiyan] U
Univ South China, Sch Math & Phys, Hengyang 421001, Hunan, Peoples R China.
语种:
英文
关键词:
Tumor growth;excess H+ ion;reaction-diffusion;traveling wavefronts;existence
关键词(中文):
反应扩散模型;肿瘤生长;酸性环境;BANACH不动点定理;非线性;波前;行驶
期刊:
生物数学学报:英文版
ISSN:
1793-5245
年:
2014
卷:
7
期:
3
页码:
183-199
基金类别:
We are grateful to two anonymous referees for their careful readings and valuable comments which led to significant improvement of our original manuscript. This research was supported by the Foundation of Natural Science of Hunan Province (14JJ2089, 13JJ9008).
机构署名:
本校为第一且通讯机构
院系归属:
计算机科学与技术学院
数理学院
摘要:
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....

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