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Related papers: Light driven interactions in spatial predator-prey…

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Motivated by the climate crisis that is currently ravaging the planet, we propose and analyze a novel framework for the evolution of anthropogenic climate impact in which the evolution of human environmental behavior and environmental…

Dynamical Systems · Mathematics 2022-11-22 Kathinka Frieswijk , Lorenzo Zino , A. Stephen Morse , Ming Cao

A cubic discrete coupled logistic equation is proposed to model the predator-prey problem. The coupling depends on the population size of both species and on a positive constant $\lambda$, which could depend on the prey reproduction rate…

Chaotic Dynamics · Physics 2007-05-23 Ricardo Lopez-Ruiz , Daniele Fournier-Prunaret

Wave localization induced by spatial disorder is ubiquitous in physics. Here, we study the temporal analog of such phenomenon on water waves. Our time disordered media consists in a collection of temporal interfaces achieved through…

Disordered Systems and Neural Networks · Physics 2021-02-16 Benjamin Apffel , Sander Wildeman , Antonin Eddi , Emmanuel Fort

Dynamical properties of numerically approximated discrete systems may become inconsistent with those of the corresponding continuous-time system. We present a qualitative analysis of the dynamical properties of two species Lotka-Volterra…

Dynamical Systems · Mathematics 2023-03-03 Shamika P. Kekulthotuwage Don , Kevin Burrage , Kate J. Helmstedt , Pamela M. Burrage

Coupled dynamical systems in ecology are known to respond to the seasonal forcing of their parameters with multiple dynamical behaviours, ranging from seasonal cycles to chaos. Seasonal forcing is predominantly modelled as a sine wave but…

Populations and Evolution · Quantitative Biology 2020-12-15 Alix M. C. Sauve , Rachel A. Taylor , Frédéric Barraquand

Ecological systems show a variety of characteristic patterns of biodiversity in space and time. It is a challenge for theory to find models that can reproduce and explain the observed patterns. Since the advent of island biogeography these…

Populations and Evolution · Quantitative Biology 2019-10-21 Michaela Hamm , Barbara Drossel

We study a model ecosystem by means of dynamical techniques from disordered systems theory. The model describes a set of species subject to competitive interactions through a background of resources, which they feed upon. Additionally…

Populations and Evolution · Quantitative Biology 2009-11-13 Yoshimi Yoshino , Tobias Galla , Kei Tokita

Phototaxis is a light driven self-locomotion of mass and a common phenomenon in motile organisms with varieties of motility such as in bacteria, algae, etc. In naturally occurring organisms, mechanical force is generated utilising their…

Soft Condensed Matter · Physics 2023-08-11 Somnath Koley , Karuna Kar Nanda

We present new theoretical and empirical results on the probability distributions of species persistence times in natural ecosystems. Persistence times, defined as the timespans occurring between species' colonization and local extinction…

Populations and Evolution · Quantitative Biology 2012-03-21 S. Suweis , E. Bertuzzo , L. Mari , I. Rodriguez-Iturbe , A. Maritan , A. Rinaldo

In this paper we study the long term dynamics of two prey species and one predator species. In the deterministic setting, if we assume the interactions are of Lotka-Volterra type (competition or predation), the long term behavior of this…

Probability · Mathematics 2021-11-29 Alexandru Hening , Dang Nguyen , Nhu Nguyen , Harrison Watts

Living systems operate far from equilibrium, yet few general frameworks provide global bounds on biological transients. In high-dimensional biological networks like ecosystems, long transients arise from the separate timescales of…

Biological Physics · Physics 2025-04-15 William Gilpin

The far-reaching consequences of ecological interactions in the dynamics of biological communities remain an intriguing subject. For decades, competition has been a cornerstone in ecological processes, but mounting evidence shows that…

Populations and Evolution · Quantitative Biology 2021-07-19 F. Meloni , G. Nakamura , B. Grammaticos , A. S. Martinez , M. Badoual

The paper presents an integrated view of the population structure and its role in establishing the ionisation state of light elements in dynamic, finite density, laboratory and astrophysical plasmas. There are four main issues, the…

This paper presents an investigation of cosmological dynamics of tachyon fluid coupled to varyingmass dark matter particles in the background of spatially flat FLRW universe. The mechanism of varying mass particles scenario assumes the mass…

General Relativity and Quantum Cosmology · Physics 2025-07-22 Goutam Mandal , Sudip Mishra , Abdulla Al Mamon , Sujay Kr. Biswas

Vegetation in semi-arid ecosystems frequently organizes into spatially heterogeneous mosaics that regulate ecosystem functioning, productivity, and resilience. These patterns arise from local biological interactions, including facilitation…

Populations and Evolution · Quantitative Biology 2026-02-06 Àlex Giménez-Romero , Bernard A. Afful , Priscilla E. Greenwood , Manuel A. Matías , Luis F. Gordillo

We propose a data-driven framework to simplify the description of spatiotemporal climate variability into few entities and their causal linkages. Given a high-dimensional climate field, the methodology first reduces its dimensionality into…

Atmospheric and Oceanic Physics · Physics 2024-04-08 Fabrizio Falasca , Pavel Perezhogin , Laure Zanna

The spatiotemporal patterns of a reaction diffusion mussel-algae system with a delay subject to Neumann boundary conditions is considered. The paper is a continuation of our previous studies on delay-diffusion mussel-algae model. The global…

Dynamical Systems · Mathematics 2018-07-26 Zuolin Shen , Junjie Wei

Demonstrating and quantifying the respective roles of social interactions and external stimuli governing fish dynamics is key to understanding fish spatial distribution. If seminal studies have contributed to our understanding of fish…

Biological Physics · Physics 2015-06-03 Manuela Capello , Marc Soria , Pascal Cotel , Jean-Louis Deneubourg , Laurent Dagorn

The role of predator evasion mediated by chemical signaling is studied in a diffusive prey-predator model when prey-taxis is taken into account (model A) or not (model B) with taxis strength coefficients $\chi$ and $\xi$ respectively. In…

Analysis of PDEs · Mathematics 2021-07-06 Purnedu Mishra , Dariusz Wrzosek

Phototaxis is the movement of microorganisms towards or away from light. In presence of dim (intense) light, microorganisms move towards (away from) the light sources, which is known as positive (negative) phototaxis. In this study, we…

Soft Condensed Matter · Physics 2023-02-23 Shubham Kumar Rajput
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