Hai-Qin Zhao, San-Yang Liu
Abstract:
This article concerns the entire solutions of a mono-stable age-structured
population model in a 2D lattice strip.
In a previous publication, we established the existence of entire solutions
related to traveling wave solutions with speeds larger than the minimal wave speed
. However, the existence of entire solutions related to the minimal
wave fronts remains open open question.
In this article, we first establish a new comparison theorem.
Then, applying the theorem we obtain the existence of entire solutions by
mixing any finite number of traveling wave fronts with speeds
,
and a solution without the j variable. In particular, we show the
relationship between the entire solution and the traveling wave fronts that
they originate.
Submitted April 23, 2014. Published November 4, 2014.
Math Subject Classifications: 34K25, 35R10, 92D25.
Key Words: Entire solution; traveling wave front;
delay lattice differential equation; age-structured population model.
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Hai-Qin Zhao School of Mathematics and Statistics Xidian University Xi'an, Shaanxi 710071, China email: hqzhao1981@hotmail.com | |
San-Yang Liu School of Mathematics and Statistics Xidian University Xi'an, Shaanxi 710071, China email: liusanyang@126.com |
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