A conceptual predator-prey model with super-long transients

Fuente: arXiv
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Main Authors: Chai, Misha, Kantz, Holger
Format: Preprint
Published: 2024
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author Chai, Misha
Kantz, Holger
author_facet Chai, Misha
Kantz, Holger
contents Drawing on the understanding of the logistic map, we propose a simple predator-prey model where predators and prey adapt to each other, leading to the co-evolution of the system. The special dynamics observed in periodic windows contribute to the coexistence of multiple time scales, adding to the complexity of the system. Typical dynamics in ecosystems, such as the persistence and coexistence of population cycles and chaotic behaviors, the emergence of super-long transients, regime shifts, and the quantifying of resilience, are encapsulated within this single model. The simplicity of our model allows for detailed analysis, reinforcing its potential as a conceptual tool for understanding ecosystems deeply.
format Preprint
id arxiv_https___arxiv_org_abs_2406_08163
institution arXiv
publishDate 2024
record_format arxiv
spellingShingle A conceptual predator-prey model with super-long transients
Chai, Misha
Kantz, Holger
Populations and Evolution
Chaotic Dynamics
Biological Physics
Drawing on the understanding of the logistic map, we propose a simple predator-prey model where predators and prey adapt to each other, leading to the co-evolution of the system. The special dynamics observed in periodic windows contribute to the coexistence of multiple time scales, adding to the complexity of the system. Typical dynamics in ecosystems, such as the persistence and coexistence of population cycles and chaotic behaviors, the emergence of super-long transients, regime shifts, and the quantifying of resilience, are encapsulated within this single model. The simplicity of our model allows for detailed analysis, reinforcing its potential as a conceptual tool for understanding ecosystems deeply.
title A conceptual predator-prey model with super-long transients
topic Populations and Evolution
Chaotic Dynamics
Biological Physics
url https://arxiv.org/abs/2406.08163