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

Xing He, Guansheng He and Chaohong Pan
Additional contact information
Xing He: School of Mathematics and Physics, University of South China, Hengyang 421001, China
Guansheng He: School of Mathematics and Physics, University of South China, Hengyang 421001, China
Chaohong Pan: School of Mathematics and Physics, University of South China, Hengyang 421001, China

Mathematics, 2022, vol. 10, issue 11, 1-10

Abstract: 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 appropriate weighted functional space.

Keywords: local stability; spectrum method; weighted functional space; host-tissue degradation (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2022
References: View references in EconPapers View complete reference list from CitEc
Citations:

Downloads: (external link)
https://www.mdpi.com/2227-7390/10/11/1805/pdf (application/pdf)
https://www.mdpi.com/2227-7390/10/11/1805/ (text/html)

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:gam:jmathe:v:10:y:2022:i:11:p:1805-:d:823619

Access Statistics for this article

Mathematics is currently edited by Ms. Emma He

More articles in Mathematics from MDPI
Bibliographic data for series maintained by MDPI Indexing Manager ().