Traveling Wavefronts of a Diffusive Hematopoiesis Model with Time Delay - Applied Mathematics

AM > Vol.5 No.17, October 2014

Applied Mathematics

Volume 5, Issue 17 (October 2014)

ISSN Print: 2152-7385 ISSN Online: 2152-7393

Google-based Impact Factor: 0.96 Citations

Traveling Wavefronts of a Diffusive Hematopoiesis Model with Time Delay ()

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DOI: 10.4236/am.2014.517258 3,537 Downloads 4,535 Views Citations

Author(s)

Zhi Ling, Linling Zhu

Affiliation(s)

School of Mathematical Science, Yangzhou University, Yangzhou, China.

ABSTRACT

In this paper, a reaction-diffusion equation with discrete time delay that describes the dynamics of the blood cell production is analyzed. The existence of the traveling wave front solutions is demonstrated using the technique of upper and lower solutions and the associated monotone iteration.

KEYWORDS

Traveling Wavefronts, Hematopoiesis Model, Time Delay

Share and Cite:

Ling, Z. and Zhu, L. (2014) Traveling Wavefronts of a Diffusive Hematopoiesis Model with Time Delay. Applied Mathematics, 5, 2712-2718. doi: 10.4236/am.2014.517258.

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