气候变迁下入侵物种在本地竞争者领地中扩散的自由边界问题
A free boundary problem for spreading of an invasive species in the territory of a native competitor under shifting climate
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中文总结 AI 辅助
本文研究气候变迁下入侵物种在本地竞争者领地扩散的自由边界问题，证明劣势入侵物种必消亡而本地物种持续，优势入侵物种则出现二分情形，且扩散速度等于气候变迁速度与均匀环境扩散速度的较小值。
中文摘要 AI 辅助
本文研究入侵物种在本地竞争者栖息地中扩散的自由边界问题。我们假设入侵物种受益于气候变迁，该变迁以恒定速度$c$将环境从不适宜转变为适宜。我们证明，若入侵物种为劣势物种，则其必然消亡，而本地竞争者始终持续存在。然而，若入侵物种为优势物种，则出现二分情形：要么入侵物种消亡而本地物种持续存在，要么入侵物种扩散而本地物种消亡。我们还证明，在后一种情形下，渐近扩散速度等于$\min\{c, c_0\}$，其中$c_0$为相应均匀环境中的扩散速度。我们提供数值模拟以说明我们的理论结果。
英文摘要
In this paper we consider a free boundary problem for the spreading of an invasive species in the habitat of a native competitor. We assume that the invasive species benefits from a climate shift that turns the environment from unfavorable to favorable at a constant speed $c$. We show that if the invasive species is an inferior one, then it must vanish, while the native competitor always persists. However, if the invasive species is a superior one, then a dichotomy occurs: either the invasive species vanishes and the native one persists, or the invasive one spreads and the native one vanishes. We also show that in the latter case the asymptotic spreading speed equals $\min\{c, c_0\}$, where $c_0$ is the spreading speed in the corresponding homogeneous environment. Numerical simulations are provided to illustrate our theoretical results.
发表机构
- Ho Chi Minh City University of Technology (HCMUT)（胡志明市理工大学）
- Vietnam National University, Ho Chi Minh City（越南国立大学胡志明市分校）
- FPT University（FPT 大学）
- University of Economics and Law, Ho Chi Minh City（胡志明市经济与法律大学）
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