论文标题
相互作用模型中的非本地相互作用效应
Non-local interaction effects in models of interacting populations
论文作者
论文摘要
我们考虑了受Lotka-Volterra的经典方程式启发的两个相互作用物种人群的动态模型。这项工作的新颖性是相互作用项是非局部的，并且相互作用发生在界面范围内。这些术语包括个体之间的竞争性内相互作用以及我们考虑两种情况的种间术语：竞争和捕食。结果表明，由于捕食或竞争性排斥灭绝，不仅非本地性引起了空间结构，而且还允许物种的存活，甚至可以促进与当地情况下最终与最终的时间振荡无关的时空模式。在这项工作中，我们还探讨了一些有关人口动态行为的有趣细节，这些细节显示出以导致非平凡结果的方式干扰的空间模式。
We consider a couple of models for the dynamics of the populations of two interacting species, inspired by Lotka-Volterra's classical equations. The novelty of this work is that the interaction terms are non local and the interaction occurs within a bounded range. These terms include the competitive intraspecific interaction among individuals and the interspecific terms for which we consider two cases: Competition and predation. The results show that not only the non-locality induces spatial structures but also allows for the survival of the species when due to predation or the competitive exclusion extinction was expected, and even promotes spatio-temporal patterns not linked to eventual temporal oscillations in the local case. In this work we also explore some interesting details about the behavior of the population dynamics that shows spatial patterns that interfere in a way that leads to non-trivial results.
