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arXiv · 2111.03860

On monostable cooperative system with nonlocal diffusion and free boundaries

Lei Li·Xueping Li·Mingxin Wang
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Abstract

This paper continues to study the monostable cooperative system with nonlocal diffusion and free boundary, which has recently been discussed by [Du and Ni, 2020, arXiv:2010.01244]. We here aim at the four aspects: the first is to give more accurate estimates for solution; the second is to discuss the limitations of solution pair of a semi-wave problem; the third is to investigate the asymptotic behaviors of the corresponding cauchy problem; the last is to study the limiting profiles of solution as one of the expanding rates of free boundary converges to $\yy$. Then two epidemic models are given to illustrate their own longtime behaviors.

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Lei Li, Xueping Li, Mingxin Wang. 2021-11-06. On monostable cooperative system with nonlocal diffusion and free boundaries. https://arxiv.org/abs/2111.03860

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