Spreading speeds and traveling waves for a model of epidermal wound healing
Haiyan Wang
TL;DR
This paper investigates the spreading speeds and traveling wave solutions in a non-cooperative reaction-diffusion system modeling epidermal wound healing, providing insights applicable to broader systems.
Contribution
It establishes the existence and characterization of spreading speeds and traveling waves for a class of non-cooperative systems, extending understanding in reaction-diffusion models.
Findings
Spreading speed characterized as the slowest speed of traveling waves
Existence of traveling wave solutions proven for the system
Results applicable to a broad class of non-cooperative systems
Abstract
In this paper, we shall establish the spreading speed and existence of traveling waves for a non-cooperative system arising from epidermal wound healing and characterize the spreading speed as the slowest speed of a family of non-constant traveling wave solutions. Our results on the spreading speed and traveling waves can also be applied to a large class of non-cooperative reaction-diffusion systems.
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Taxonomy
TopicsMathematical and Theoretical Epidemiology and Ecology Models · Nonlinear Dynamics and Pattern Formation · Gene Regulatory Network Analysis