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Existence of traveling wavefronts for Sherratt's avascular tumor model

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成果类型:
期刊论文
作者:
Zhu, Huiyan;Ou, Chunhua*
通讯作者:
Ou, Chunhua
作者机构:
[Zhu, Huiyan] Univ S China, Sch Math & Phys, Hengyang 421001, Hunan, Peoples R China.
[Ou, Chunhua] Mem Univ Newfoundland, Dept Math & Stat, St John, NF A1C 5S7, Canada.
通讯机构:
[Ou, Chunhua] M
Mem Univ Newfoundland, Dept Math & Stat, St John, NF A1C 5S7, Canada.
语种:
英文
期刊:
CHAOS SOLITONS & FRACTALS
ISSN:
0960-0779
年:
2011
卷:
44
期:
4-5
页码:
218-225
基金类别:
Natural Science Foundation of ChinaNational Natural Science Foundation of China (NSFC) [11071060]; Hunan Provincial Science & Technology Department [2010GK3013]; NSERC of CanadaNatural Sciences and Engineering Research Council of Canada (NSERC); IRIF of the province of Newfoundland and Labrador
机构署名:
本校为第一机构
院系归属:
数理学院
摘要:
In this paper, we revisit Sherratt's avascular tumor growth system modeled in terms of the continuum densities of proliferating, quiescent and necrotic cells, together with the consideration of the generic nutrient supply from underlying tissue and cell movement of contact inhibition. By adopting a perturbation method combined with the Banach fixed point theorem, we theoretically justify the existence of the traveling wavefronts for this...

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