Longtime behaviors of a reducible cooperative system with nonlocal diffusions and free boundaries

作     者：Li, Lei Wang, Mingxin 

作者机构：School of Mathematics and Statistics Henan University of Technology Zhengzhou450001 China School of Mathematics and Information Science Henan Polytechnic University Jiaozuo454003 China 

出 版 物：《arXiv》 (arXiv)

年 卷 期：2025年

核心收录：

摘      要：This paper aims at understanding the longtime behaviors of a reducible cooperative system with nonlocal diffusions and different free boundaries, describing the interactions of two mutually beneficial species. Compared with the irreducible and monostable cooperative system, the system we care about here has many nonnegative steady states, leading to much different and rich longtime behaviors. Moreover, since the possible nonnegative steady states on half space are non-constant, we need to employ more detailed analysis to understand the corresponding steady state problems which in turn helps us to derive a complete classification for the longtime behaviors of our problem. The spreading speeds of free boundaries and more accurate limits of (u, v) as t → ∞ are also discussed, and accelerated spreading can happen if some threshold conditions are violated by kernel functions. Copyright © 2025, The Authors. All rights reserved.