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Mathematical Methods in the Applied Sciences | Vol.41, Issue.41 | | Pages 5989-6016

Mathematical Methods in the Applied Sciences

Traveling wave solutions in nonlocal delayed reaction‐diffusion systems with partial quasimonotonicity

Kun Li, Xiong Li  
Abstract

In this paper, we establish the existence of traveling wave solutions in nonlocal delayed reaction‐diffusion systems with partial quasimonotonicity. The method is based on Schauder's fixed point theorem and the cross‐iteration scheme. We also present some applications of our results to diffusive and competition‐cooperation system with nonlocal delays by choosing 3 different kernels.

Original Text (This is the original text for your reference.)

Traveling wave solutions in nonlocal delayed reaction‐diffusion systems with partial quasimonotonicity

In this paper, we establish the existence of traveling wave solutions in nonlocal delayed reaction‐diffusion systems with partial quasimonotonicity. The method is based on Schauder's fixed point theorem and the cross‐iteration scheme. We also present some applications of our results to diffusive and competition‐cooperation system with nonlocal delays by choosing 3 different kernels.

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Kun Li, Xiong Li,.Traveling wave solutions in nonlocal delayed reaction‐diffusion systems with partial quasimonotonicity. 41 (41),5989-6016.

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