On monostable cooperative system with nonlocal diffusion and free boundaries
Analysis of PDEs
2021-11-12 v2
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 . Then two epidemic models are given to illustrate their own longtime behaviors.
Cite
@article{arxiv.2111.03860,
title = {On monostable cooperative system with nonlocal diffusion and free boundaries},
author = {Lei Li and Xueping Li and Mingxin Wang},
journal= {arXiv preprint arXiv:2111.03860},
year = {2021}
}