Asymptotic behaviors and existence of traveling wave solutions to the Keller-Segel model with logarithmic sensitivity
نویسندگان
چکیده
In this paper, we are concerned with the existence of traveling wave solutions for Keller-Segel model logarithmic sensitivity. By Hopf-Cole transformation and transformation, degenerate system is transformed into a singularly perturbed system. constructing an invariant region to prove system, obtain small parameter by using geometric singular perturbation theory Fredholm theory. Finally, discuss asymptotic behaviors solutions.
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ژورنال
عنوان ژورنال: Discrete and Continuous Dynamical Systems-series B
سال: 2023
ISSN: ['1531-3492', '1553-524X']
DOI: https://doi.org/10.3934/dcdsb.2022146