Slow–fast dynamics in small trophic chains with habitat loss

IF 1.6 4区 物理与天体物理 Q3 PHYSICS, CONDENSED MATTER
Ramya Seenivasan, Prosenjit Paul
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引用次数: 0

Abstract

Predator–prey models serve as a fertile ground for modeling the emergence of slow–fast dynamics in natural species. In this work, we demonstrate a set of slow–fast predator–prey ecosystems to investigate the impact of habitat loss on ecosystems, using geometric singular perturbation theory (GSPT) as the mathematical framework. Our methodology outlines how to decompose the multi-trophic-level slow–fast system into its slow and fast subsystems. The impacts of habitat loss and environmental changes on the critical manifold of the slow–fast system are discussed. The model is shown to undergo a canard cycle for a range of parameter values. In the Rosenzweig–MacArthur (R–M) predator–prey system, earlier studies did not consider the density-dependent habitat loss of prey, which could lead to the exhibition of canard cycles. However, the inclusion of density-dependent habitat loss mortality in the system can also lead to canard cycles.

栖息地丧失的小营养链的快慢动态
捕食者-猎物模型为模拟自然物种中慢速动态的出现提供了肥沃的土壤。在这项工作中,我们展示了一组慢速捕食者-猎物生态系统来研究栖息地丧失对生态系统的影响,使用几何奇异摄动理论(GSPT)作为数学框架。我们的方法概述了如何将多营养水平的慢速系统分解为慢速和快速子系统。讨论了生境丧失和环境变化对慢-快系统临界流形的影响。在一定范围的参数值下,模型经历了一个鸭耳循环。在Rosenzweig-MacArthur (R-M)捕食者-猎物系统中,早期的研究没有考虑猎物栖息地的密度依赖性丧失,这可能导致鸭式循环的出现。然而,在系统中纳入密度依赖的栖息地丧失死亡率也可能导致鸭式循环。
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来源期刊
The European Physical Journal B
The European Physical Journal B 物理-物理:凝聚态物理
CiteScore
2.80
自引率
6.20%
发文量
184
审稿时长
5.1 months
期刊介绍: Solid State and Materials; Mesoscopic and Nanoscale Systems; Computational Methods; Statistical and Nonlinear Physics
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