Traveling waves in a bio-reactor model with stage-structure

被引：25
作者：
Wang, Zhi-Cheng [1 ,2 ]
Wu, Jianhua [2 ]
机构：
[1] Lanzhou Univ, Sch Math & Stat, Lanzhou 730000, Gansu, Peoples R China
[2] Shaanxi Normal Univ, Coll Math & Informat Sci, Xian 710062, Shaanxi, Peoples R China
来源：
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS | 2012年 / 385卷 / 02期
基金：
中国博士后科学基金; 中国国家自然科学基金;
关键词：
Bio-reactor model; Traveling wave solutions; Stage-structure; Fixed point theorem; EPIDEMIC MODEL; CHEMOSTAT; SPREAD;
D O I：
10.1016/j.jmaa.2011.06.084
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper the existence and non-existence of traveling wave solutions are established for a bio-reactor model with stage-structure. The method to prove the existence of wave solutions is to construct an invariant cone of initial functions defined in a large but bounded domain, to apply a fixed point theorem on this cone and then extend to the unbounded spatial domain R by a limiting argument. (C) 2011 Elsevier Inc. All rights reserved.
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页码：683 / 692
页数：10
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