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Traveling wavefront in a Hematopoiesis model with time delay

✍ Scribed by Zhi Ling; Zhigui Lin

Publisher
Elsevier Science
Year
2010
Tongue
English
Weight
442 KB
Volume
23
Category
Article
ISSN
0893-9659

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✦ Synopsis

This paper is concerned with a reaction-diffusion equation with time delay, which describes the dynamics of the blood cell production. The existence of the traveling wavefront is given by using the upper-lower solution technique and the monotone iteration.

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Traveling wavefronts in a bistable reaction diffusion system with spatio-temporal delay
✍ Hai-Qin Zhao πŸ“‚ Article πŸ“… 2011 πŸ› Elsevier Science 🌐 English βš– 256 KB

This paper is concerned with a reaction-diffusion system with spatio-temporal delay. Under the bistable assumptions, the existence of traveling wavefronts is established by transforming the system with spatio-temporal delay to a three-dimensional reactiondiffusion system without delay. The uniquenes