论文标题
在明显竞争模型中的模式形成和粗糙的动态
Pattern formation and coarsening dynamics in apparent competition models
论文作者
论文摘要
明显的竞争是共享自然资源而没有任何相互侵略的物种之间的间接相互作用,但如果有一个共同的敌人,则会对彼此产生负面影响。明显竞争的负面结果反映在物种的空间隔离中,这影响了人群的动态。进行一系列随机模拟,我们研究了一个模型,其中两个猎物的生物没有争夺空间,而是共享一个共同的捕食者。我们的成果阐明了捕食者在明显竞争模型中的模式形成和变形动态中所起的核心作用。研究捕食者死亡率对该物种持久性的影响,我们发现曲率驱动的缩放制度与共存情景之间的交叉。对于低捕食者的死亡率,空间域主要居住在一种类型的猎物中,周围是主要包含捕食者的界面。我们证明,接口网络的动力学是曲率驱动的,其粗糙遵循其他非线性系统共有的缩放定律。高捕食者死亡率的明显竞争降低,使两个猎物物种的生物具有更大的晶格。最后,我们的结果表明,单prey域中的捕食能力会影响特征性动力学的缩放力定律。我们的发现可能对生物学家了解具有明显竞争的系统中生物多样性的模式形成和动态。
Apparent competition is an indirect interaction between species that share natural resources without any mutual aggression but negatively affect each other if there is a common enemy. The negative results of the apparent competition are reflected in the species spatial segregation, which impacts the dynamics of their populations. Performing a series of stochastic simulations, we study a model where organisms of two prey species do not compete for space but share a common predator. Our outcomes elucidate the central role played by the predator in the pattern formation and coarsening dynamics in apparent competition models. Investigating the effects of predator mortality on the persistence of the species, we find a crossover between a curvature driven scaling regime and a coexistence scenario. For low predator mortality, spatial domains mainly inhabited by one type of prey arise, surrounded by interfaces that mostly contain predators. We demonstrate that the dynamics of the interface network are curvature driven whose coarsening follows a scaling law common to other nonlinear systems. The effects of the apparent competition decrease for high predator mortality, allowing organisms of two prey species to share a more significant fraction of lattice. Finally, our results reveal that predation capacity in single-prey domains influences the scaling power law that characterises the coarsening dynamics. Our findings may be helpful to biologists to understand the pattern formation and dynamics of biodiversity in systems with apparent competition.