Allee effect with time-varying migration on heterogeneous graphs
Allee effect with time-varying migration on heterogeneous graphs
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DOI：
10.1016/j.physa.2019.121276
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发表时间：
2019-08
期刊：
影响因子：
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通讯作者：
T. Nagatani;G. Ichinose;Yukiko Katsumata
中科院分区：
文献类型：
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作者：
T. Nagatani;G. Ichinose;Yukiko Katsumata
动物在白天和夜晚的行为可以被证明为随时间变化的迁移。研究了扩散耦合Allee模型中时间迁移对非均匀图的影响。利用移动的个体的Allee效应，提出了时间异质图的集合种群动力学模型.我们考虑了具有三个和四个节点的小图和具有N个节点的星星图。一个子种群（斑块）由图上的一个节点表示。一个链接代表一个时间迁移路径之间的亚群。移动的个体通过节点之间的链路随机行走而在时间上移动。个体的生长或死亡取决于每个亚群内的Allee种群动态。集合种群模型中的种群动力学由扩散系数随时间变化的反应扩散方程描述。为了估计每个子种群（节点）的种群规模，我们数值求解了小图和星星图的反应扩散方程。时间迁移路径诱导复杂的行为的Allee动力学。该时间路径的周期（频率的倒数）对Allee动力学有重要影响。
The behavior of animals during day and night can be demonstrated as time-varying migration. We study the effect of the temporal migration in a diffusively coupled Allee model on heterogeneous graphs. We present the metapopulation dynamic model for temporally heterogeneous graphs using the Allee effect of mobile individuals. We consider the small graphs with three and four nodes, and the star graphs withNnodes. A subpopulation (patch) is represented by a node on a graph. A link represents a temporal migration path between subpopulations. Mobile individuals move temporally by random walk through a link between nodes. Individuals grow or die out according to the Allee population dynamics within each subpopulation. The population dynamics in the metapopulation model are presented by reaction–diffusion equations with time-dependent diffusion coefficients. To evaluate the population size of each subpopulation (node), we obtain the solutions of the reaction–diffusion equations numerically for the small graphs and star graphs. The temporal migration path induces complex behavior for the Allee dynamics. The period (the inverse of frequency) of this temporal path has an important effect on the Allee dynamics.