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Traveling waves of a diffusive predator-prey model with nonlocal delay and stage structure
Authors:Xiao Zhang
Institution:Institute of Applied Mathematics, Shijiazhuang Mechanical Engineering College, Shijiazhuang 050003, PR China
Abstract:In this paper, a diffusive predator-prey model with nonlocal delay and stage structure is investigated. By using the cross iteration method and Schauder's fixed point theorem, we reduce the existence of traveling wave solutions to the existence of a pair of upper-lower solutions. Numerical simulations are carried out to illustrate the theoretical results.
Keywords:Traveling waves  Reaction-diffusion  Stage structure  Nonlocal delay
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