Park Junpyo
Department of Mathematical Sciences, Ulsan National Institute of Science and Technology, Ulsan 44919, South Korea.
Chaos. 2019 Jul;29(7):071107. doi: 10.1063/1.5118833.
Interpatch migration between two environments is generally considered as a spatial concept and can affect species biodiversity in each patch by inducing flux of population such as inflow and outflow quantities of species. In this paper, we explore the effect of interpatch migration, which can be generally considered as a spatial concept and may affect species biodiversity between two different patches in the perspective of the macroscopic level by exploiting the coupling of two systems, where each patch is occupied by cyclically competing three species who can stably coexist by exhibiting periodic orbits. For two simple scenarios of interpatch migration either single or all species migration, we found that two systems with independently stable coexisting species in each patch are eventually synchronized, and oscillatory behaviors of species densities in two patches become identical, i.e., the synchronized coexistence emerges. In addition, we find that, whether single or all species interpatch migration occurs, the waiting time for the synchronization is exponentially decreasing as the coupling strength is intensified. Our findings suggest that the synchronized behavior of species as a result of migration between different patches can be easily predicted by the coupling of systems and additional information such as waiting times and sensitivity of initial densities.
两个环境之间的斑块间迁移通常被视为一个空间概念，它可以通过诱导种群流动（如物种的流入和流出量）来影响每个斑块中的物种生物多样性。在本文中，我们探讨了斑块间迁移的影响，它通常可被视为一个空间概念，并且可能从宏观层面的角度，通过利用两个系统的耦合来影响两个不同斑块之间的物种生物多样性，其中每个斑块都被三种周期性竞争的物种占据，这些物种通过展示周期性轨道能够稳定共存。对于斑块间迁移的两种简单情形，即单个物种迁移或所有物种迁移，我们发现每个斑块中具有独立稳定共存物种的两个系统最终会同步，并且两个斑块中物种密度的振荡行为会变得相同，即出现同步共存。此外，我们发现，无论发生单个物种还是所有物种的斑块间迁移，随着耦合强度的增强，同步的等待时间呈指数下降。我们的研究结果表明，通过系统耦合以及诸如等待时间和初始密度敏感性等附加信息，可以很容易地预测不同斑块间迁移导致的物种同步行为。
