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Existence of traveling wavefronts of discrete reaction-diffusion equations with delay
Authors:Xiaohuan Wang  Jihui Zhang
Affiliation:1. Institute of Mathematics, School of Mathematics and Computer Sciences, Nanjing Normal University, 210097, Jiangsu, People’s Republic of China
Abstract:In this paper, we investigate the temporally discrete reaction-diffusion with delay. By using Schauder’s fixed point theorem, we establish the existence of traveling wave fronts. The main result is applied to a delayed and discretely diffusive model for the population of Daphnia magna.
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