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Local Stability of Traveling Waves of a Model Describing Host Tissue Degradation by Bacteria

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成果类型:
期刊论文
作者:
He, Xing;He, Guansheng;Pan, Chaohong
通讯作者:
Chaohong Pan
作者机构:
[He, Xing; He, Guansheng; Pan, Chaohong] Univ South China, Sch Math & Phys, Hengyang 421001, Peoples R China.
通讯机构:
[Chaohong Pan] A
Author to whom correspondence should be addressed.
语种:
英文
关键词:
local stability;spectrum method;weighted functional space;host-tissue degradation
期刊:
Mathematics
ISSN:
2227-7390
年:
2022
卷:
10
期:
11
页码:
1805-
基金类别:
Methodology, X.H. and C.P.; validation, X.H., G.H. and C.P.; formal analysis, X.H. and C.P.; writing—original draft preparation, X.H.; writing—review and editing, X.H. and C.P.; supervision, C.P. and G.H.; project administration, C.P.; funding acquisition, C.P. All authors have read and agreed to the published version of the manuscript. This work is supported by the National Natural Science Foundation of China grant (No. 11626129 and No. 11801263), the Natural Science Foundation of Hunan Province grant (No. 2018JJ3418).The three authors are supported by Hunan Key Laboratory of Mathematical Modeling and Scientific Computing.
机构署名:
本校为第一机构
院系归属:
数理学院
摘要:
The focus of this paper is on the local stability of the traveling waves of reaction–diffusion systems that describe host-tissue degradation by bacteria. On the one hand, we discuss the asymptotic behavior of the solutions near the equilibrium points. On the other hand, the local stability of traveling waves is proved by the spectrum method based on the...

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