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Traveling wave solutions of a delayed prey-predator system with diffusion

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This paper discusses the existence of traveling wave solutions of delayed reaction–dif-fusion systems with partial quasi-monotonicity. By using the Schauder’s fixed point theorem, the existence of traveling wave solutions is… Click to show full abstract

This paper discusses the existence of traveling wave solutions of delayed reaction–dif-fusion systems with partial quasi-monotonicity. By using the Schauder’s fixed point theorem, the existence of traveling wave solutions is obtained by the existence of a pair of upper–lower solutions. We study the existence of traveling wave solutions in a delayed prey–predator system.

Keywords: solutions delayed; prey predator; wave solutions; delayed prey; predator system; traveling wave

Journal Title: International Journal of Biomathematics
Year Published: 2017

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