变化环境中扩散竞争系统的传播动力学
Spreading dynamics for diffusive competition systems in shifting environments
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中文总结 AI 辅助
研究气候变化下两种群扩散竞争系统的传播动力学，通过强弱竞争条件推导物种存亡条件，发现结果受气候变化速度、物种恢复力及初始种群分布影响，揭示了气候变化对种群动态影响的复杂性。
中文摘要 AI 辅助
我们研究气候变化导致的变化环境中两种群扩散竞争系统的传播动力学。主要目标是在强弱竞争情况下得出各物种灭绝和持续存在的条件。根据气候变化速度以及强竞争者速度快慢，会发现解的渐近行为有显著不同结果。例如，弱且快的竞争者可能存活而强且慢的不能。还发现一些参数区域，结果不仅取决于气候变化速度，还取决于两物种对其的恢复力以及初始种群分布。结果表明考虑多个物种时气候变化对种群动态的影响极其复杂。
英文摘要
We study the spreading dynamics for two-species diffusive competition systems in shifting environments caused by climate changes. Our main goal is to derive conditions for extinction and persistence of each species in the case of a strong-weak competition. Depending on the pace of the climate change, but also on whether the strong competitor is faster or slower, we will uncover dramatically different outcomes in the asymptotic behavior of solutions. For instance, it may be that a weak and fast competitor survives while a strong and slow one does not. Furthermore, we find some parameter regime where the outcome depends not only on the climate change speed, but also on both species' resilience to it, and even on the initial populations' distributions. Our results show how strikingly complex the effect of climate change may be on population dynamics as soon as several species are considered.
