Abstract
In this paper, we consider the spatial dynamics for a non-cooperat-ive diffusion system arising from epidermal wound healing. We shall estab-lish the spreading speed and existence of traveling waves and characterize the spreading speed as the slowest speed of a family of non-constant traveling wave solutions. We also construct some new types of entire solutions which are different from the traveling wave solutions and spatial variable independent solutions. The traveling wave solutions provide the healing speed and describe how wound healing process spreads from one side of the wound. The entire solution exhibits the interaction of several waves originated from different lo-cations of the wound. To the best of knowledge of the authors, it is the first time that it is shown that there is an entire solution in the model for epidermal wound healing.
| Original language | English (US) |
|---|---|
| Pages (from-to) | 1215-1227 |
| Number of pages | 13 |
| Journal | Mathematical Biosciences and Engineering |
| Volume | 11 |
| Issue number | 5 |
| DOIs | |
| State | Published - Oct 2014 |
Keywords
- Entire solution
- Epidermal wound healing
- Non-cooperative diffusion systems
- Spreading speed
- Traveling waves
ASJC Scopus subject areas
- Modeling and Simulation
- Agricultural and Biological Sciences(all)
- Computational Mathematics
- Applied Mathematics