Cyclical interactions with alliance-specific heterogeneous invasion rates
Cyclical interactions with alliance-specific heterogeneous invasion rates
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DOI：
10.1103/physreve.75.052102
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发表时间：
2007-05-01
影响因子：
2.4
通讯作者：
Szabo, Gyorgy
中科院分区：
文献类型：
--
作者：
Perc, Matjaz;Szolnoki, Attila;Szabo, Gyorgy
我们在不同的二维格子上研究了六种群Lotka-Volterra型系统，当每种群有两个上等配对和两个劣配对时。从捕食者站点到随机选择的邻近猎物站点的入侵率取决于捕食者-猎物对，因此两个三物种防御联盟内的循环对称性是保守的。蒙特卡罗模拟揭示了联盟存活率与联盟特定侵入率的差异之间的非单调依赖关系。这一行为是由四点平均场近似定性地再现的。这项研究解决了两个防御性联盟竞争的稳定性的基本问题，因此在自然科学和社会科学中具有重要意义。
We study a six-species Lotka-Volterra-type system on different two-dimensional lattices when each species has two superior and two inferior partners. The invasion rates from predator sites to a randomly chosen neighboring prey site depend on the predator-prey pair, whereby cyclic symmetries within the two three-species defensive alliances are conserved. Monte Carlo simulations reveal an unexpected nonmonotonous dependence of alliance survival on the difference of alliance-specific invasion rates. This behavior is qualitatively reproduced by a four-point mean-field approximation. The study addresses fundamental problems of stability for the competition of two defensive alliances and thus has important implications in natural and social sciences.