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

Author

Listed:
  • 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)

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.

Suggested Citation

  • Xing He & Guansheng He & Chaohong Pan, 2022. "Local Stability of Traveling Waves of a Model Describing Host Tissue Degradation by Bacteria," Mathematics, MDPI, vol. 10(11), pages 1-10, May.
    • Handle: RePEc:gam:jmathe:v:10:y:2022:i:11:p:1805-:d:823619
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    References listed on IDEAS

    as
    1. Ahmad Alhasanat & Chunhua Ou, 2019. "Stability of Traveling Waves to the Lotka-Volterra Competition Model," Complexity, Hindawi, vol. 2019, pages 1-11, January.
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