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Traveling wavefronts solution for a reaction diffusion population modelwith delay
Sun Cuina,Zhao Zhihong *
School of Mathematics and Physics, University of Science & Technology Beijing, Beijing 100083
*Correspondence author
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Funding: Beijing Higher Education Young Elite Teacher Project （No.YETP0388）, Specialized Research Fund for theDoctoral Program of Higher Education （No.20120006120007）
Opened online: 9 April 2015
Accepted by: none
Citation: Sun Cuina,Zhao Zhihong.Traveling wavefronts solution for a reaction diffusion population modelwith delay[OL]. [ 9 April 2015] http://en.paper.edu.cn/en_releasepaper/content/4637582
 
 
This paper is devoted to study of travelingwavefronts for a class of reaction-diffusion population model with discretedelay. By Constructing weak upper-lower solution, which are easy to construct in practice,and applying Schauder fixed point theorem, we prove that thereexists a constant $c^*>0$ such that for each $cgeq c^*$, themodel under consideration admits traveling wavefronts solutionwith speed $c.$
Keywords:reaction diffusion population model; Traveling wavefront; Discrete delay;Fixed point theorem; Weak upper-lower solution
 
 
 

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