School of Statistics and Mathematics, Yunnan University of Finance and Economics, Kunming, Yunnan 650221, China.
Department of Applied Mathematics, Kyung Hee University, Yongin 17104, Republic of Korea.
Chaos. 2022 Aug;32(8):081104. doi: 10.1063/5.0093342.
We investigate evolving dynamics of cyclically competing species on spatially extended systems with considering a specific region, which is called the "wildlife refuge," one of the institutional ways to preserve species biodiversity. Through Monte-Carlo simulations, we found that the refuge can play not groundbreaking but an important role in species survival. Species coexistence is maintained at a moderate mobility regime, which traditionally leads to the collapse of coexistence, and eventually, the extinction is postponed depending on the competition rate rather than the portion of the refuge. Incorporating the extinction probability and Fourier transform supported our results in both stochastic and analogous ways. Our findings may provide valuable evidence to assist fields of ecological/biological sciences in understanding the presence and construction of refuges for wildlife with associated effects on species biodiversity.
我们研究了在考虑特定区域（称为“野生动物保护区”）的空间扩展系统上周期性竞争物种的演化动态，这是保护物种生物多样性的一种制度方法。通过蒙特卡罗模拟，我们发现保护区可以发挥重要作用，但不是开创性的作用，有助于物种生存。在适度的迁移率下维持物种共存，这通常会导致共存崩溃，最终，灭绝时间取决于竞争率而不是保护区的比例。结合灭绝概率和傅里叶变换，以随机和类似的方式支持了我们的结果。我们的研究结果可能为协助生态学/生物学领域理解野生动物保护区的存在和构建以及对物种生物多样性的相关影响提供有价值的证据。
