Asymptotic stability of traveling fronts to a chemotaxis model with nonlinear diffusion

Mohammad Ghani; Jingyu Li; Kaijun Zhang

doi:doi/10.3934/dcdsb.2021017

Asymptotic stability of traveling fronts to a chemotaxis model with nonlinear diffusion

Mohammad Ghani, Jingyu Li, Kaijun Zhang

Faculty of Advanced Technology and Multidiscipline

Research output: Contribution to journal › Article

5 Citations (Scopus)

Abstract

We are interested in the existence and stability of traveling waves of arbitrary amplitudes to a chemotaxis model with porous medium diffusion. We first make a complete classification of traveling waves under specific relations among the biological parameters. Then we show all these traveling waves are asymptotically stable under appropriate perturbations. The proof is based on a Cole-Hopf transformation and the energy method.

Original language	English
Journal	Discrete and Continuous Dynamical Systems - Series B
DOIs	https://doi.org/doi/10.3934/dcdsb.2021017
Publication status	Published - 2021

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title = "Asymptotic stability of traveling fronts to a chemotaxis model with nonlinear diffusion",

abstract = "We are interested in the existence and stability of traveling waves of arbitrary amplitudes to a chemotaxis model with porous medium diffusion. We first make a complete classification of traveling waves under specific relations among the biological parameters. Then we show all these traveling waves are asymptotically stable under appropriate perturbations. The proof is based on a Cole-Hopf transformation and the energy method.",

author = "Mohammad Ghani and Jingyu Li and Kaijun Zhang",

year = "2021",

doi = "doi/10.3934/dcdsb.2021017",

language = "English",

journal = "Discrete and Continuous Dynamical Systems - Series B",

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T1 - Asymptotic stability of traveling fronts to a chemotaxis model with nonlinear diffusion

AU - Ghani, Mohammad

AU - Li, Jingyu

AU - Zhang, Kaijun

PY - 2021

Y1 - 2021

N2 - We are interested in the existence and stability of traveling waves of arbitrary amplitudes to a chemotaxis model with porous medium diffusion. We first make a complete classification of traveling waves under specific relations among the biological parameters. Then we show all these traveling waves are asymptotically stable under appropriate perturbations. The proof is based on a Cole-Hopf transformation and the energy method.

AB - We are interested in the existence and stability of traveling waves of arbitrary amplitudes to a chemotaxis model with porous medium diffusion. We first make a complete classification of traveling waves under specific relations among the biological parameters. Then we show all these traveling waves are asymptotically stable under appropriate perturbations. The proof is based on a Cole-Hopf transformation and the energy method.

U2 - doi/10.3934/dcdsb.2021017

DO - doi/10.3934/dcdsb.2021017

M3 - Article

SN - 1531-3492

JO - Discrete and Continuous Dynamical Systems - Series B

JF - Discrete and Continuous Dynamical Systems - Series B

ER -

Asymptotic stability of traveling fronts to a chemotaxis model with nonlinear diffusion

Abstract

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