扩散驱动不稳定性对行波解的影响。

IF 2.2 3区 物理与天体物理 Q2 PHYSICS, FLUIDS & PLASMAS
Reeta Yadav, Moitri Sen, Swadesh Pal
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引用次数: 0

摘要

捕食者-猎物相互作用是生态系统的基本组成部分,环境的空间异质性显著影响着它们的动态。本研究使用局部和非局部模型来研究这种类型的空间异构环境。首先,我们仔细研究了一个包含Allee效应和捕食者之间狩猎合作的局部模型,为理解系统动力学奠定了基础。随后,非局部相互作用捕获了空间异质性效应,丰富了我们对生态系统动力学的理解。重要的生态现象,如行波的出现,突出了捕食者和猎物种群之间复杂的相互作用。广泛的数值模拟探索了低猎物扩散率下的时空混沌等一系列解决方案,揭示了捕食者-猎物种群的空间相互作用。我们已经讨论了不同参数组合的行波解背后的模式,以及图灵不稳定性如何识别这些模式。然而,我们确定了通过稳定极限环或鞍点直接或间接连接两个平衡点的行波。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
Impact of diffusion-driven instability on traveling wave solutions.

Predator-prey interactions are fundamental components of ecological systems, and spatial heterogeneity in the environment significantly influences their dynamics. This study investigates such types of spatially heterogeneous environments using local and nonlocal models. Initially, we scrutinize a local model incorporating the Allee effect and hunting cooperation among predators, laying the groundwork for understanding system dynamics. Subsequently, the nonlocal interaction captures spatial heterogeneity effects, enriching our comprehension of ecosystem dynamics. Significant ecological phenomena, such as the emergence of traveling waves, highlight the complex interactions between predator and prey populations. Extensive numerical simulations explore a range of solution categories including spatiotemporal chaos at low prey diffusion rate, shedding light on the spatial interaction of the prey-predator populations. We have discussed the patterns behind the traveling wave solutions for different parametric combinations and how Turing instability identifies such patterns. Nevertheless, we identify the traveling waves connecting two equilibrium points directly or indirectly through a stable limit cycle or saddle points.

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来源期刊
Physical Review E
Physical Review E PHYSICS, FLUIDS & PLASMASPHYSICS, MATHEMAT-PHYSICS, MATHEMATICAL
CiteScore
4.50
自引率
16.70%
发文量
2110
期刊介绍: Physical Review E (PRE), broad and interdisciplinary in scope, focuses on collective phenomena of many-body systems, with statistical physics and nonlinear dynamics as the central themes of the journal. Physical Review E publishes recent developments in biological and soft matter physics including granular materials, colloids, complex fluids, liquid crystals, and polymers. The journal covers fluid dynamics and plasma physics and includes sections on computational and interdisciplinary physics, for example, complex networks.
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