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Related papers: A framework for studying transients in marine meta…

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In any ecosystem, the conditions of the environment and the characteristics of the species that inhabit it are entangled, co-evolving in space and time. We introduce a model that couples active agents with a dynamic environment, interpreted…

Populations and Evolution · Quantitative Biology 2025-12-10 G. Briozzo , G. J. Sibona , F. Peruani

The metapopulation framework is adopted in a wide array of disciplines to describe systems of well separated yet connected subpopulations. The subgroups or patches are often represented as nodes in a network whose links represent the…

Physics and Society · Physics 2013-03-27 Suyu Liu , Andrea Baronchelli , Nicola Perra

In this paper we revisit the concept of mobility entropy. Over time, the structure of spatial interactions among urban centres tends to become more complex and evolves from centralised models to more scattered origin and destination…

Physics and Society · Physics 2021-06-30 Valentina Marin , Carlos Molinero , Elsa Arcaute

In contrast with classical approaches, we present the project based on considering Collective Behaviours as coherent sequences of states adopted by different single systems consisting of the same elements interacting over time in different…

Adaptation and Self-Organizing Systems · Physics 2009-10-12 Gianfranco Minati

A theoretical framework is developed for understanding the transient growth and propagation characteristics of thermodynamically coupled, meridional mode-like structures in the tropics. The model consists of a Gill-Matsuno type steady…

Atmospheric and Oceanic Physics · Physics 2017-06-06 Cristian Martinez-Villalobos , Daniel J. Vimont

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…

Populations and Evolution · Quantitative Biology 2024-10-03 Misha Chai , Holger Kantz

Transients are fundamental to ecological systems with significant implications to management, conservation, and biological control. We uncover a type of transient synchronization behavior in spatial ecological networks whose local dynamics…

Populations and Evolution · Quantitative Biology 2020-11-24 Huawei Fan , Ling-Wei Kong , Xingang Wang , Alan Hastings , Ying-Cheng Lai

This paper introduces a novel approach to quantifying ecological resilience in biological systems, particularly focusing on noisy systems responding to episodic disturbances with sudden adaptations. Incorporating concepts from…

Quantitative Methods · Quantitative Biology 2024-12-24 Jorge M. Ramirez , Juan M. Restrepo , Valerio Lucarini , David Weston

We investigate the stochastic dynamics of entities which are confined to a set of islands, between which they migrate. They are assumed to be one of two types, and in addition to migration, they also reproduce and die. Systems which fall…

Statistical Mechanics · Physics 2014-04-02 George W. A. Constable , Alan J. McKane

Structure, composition and stability of ecological populations are shaped by the inter- and intra-species interactions within these communities. It remains to be fully understood how the interplay of these interactions with other factors,…

Populations and Evolution · Quantitative Biology 2023-01-16 Nava Leibovich , Jeremy Rothschild , Sidhartha Goyal , Anton Zilman

We consider the logistic metapopulation model over a stream network and use the metapopulation growth rate and the total biomass (of the positive equilibrium) as metrics for different aspects of population persistence. Our objective is to…

Current questions in ecology revolve around instabilities in the dynamics on spatial networks and particularly the effect of node heterogeneity. We extend the Master Stability Function formalism to inhomogeneous biregular networks having…

Populations and Evolution · Quantitative Biology 2022-04-27 Alexander Krauß , Thilo Gross , Barbara Drossel

Shifting ecosystem disturbance patterns due to climate change (e.g. storms, droughts, wildfires) or direct human interference (e.g. harvests, nutrient loading) highlight the importance of quantifying and strengthening the resilience of…

Populations and Evolution · Quantitative Biology 2018-03-22 Katherine Meyer , Alanna Hoyer-Leitzel , Sarah Iams , Ian Klasky , Victoria Lee , Stephen Ligtenberg , Erika Bussmann , Mary Lou Zeeman

A fundamental challenge in developing data-driven approaches to ecological systems for tasks such as state estimation and prediction is the paucity of the observational or measurement data. For example, modern machine-learning techniques…

Quantitative Methods · Quantitative Biology 2024-10-11 Zheng-Meng Zhai , Bryan Glaz , Mulugeta Haile , Ying-Cheng Lai

The myriad microscopic interactions among the individual organisms that constitute an ecological system collectively give rise, at the macroscopic scale, to evolutionary trends. The ability to detect the directionality of such trends is…

Populations and Evolution · Quantitative Biology 2025-07-21 Andrea Marchetti , Henrik Jeldtoft Jensen

Mathematical modelling of the evolution of the size-spectrum dynamics in aquatic ecosystems was discovered to be a powerful tool to have a deeper insight into impacts of human- and environmental driven changes on the marine ecosystem. In…

Analysis of PDEs · Mathematics 2024-01-02 Laura Kanzler , Benoit Perthame , Benoit Sarels

Swarming phenomena are ubiquitous in various physical, biological, and social systems, where simple local interactions between individual units lead to complex global patterns. A common feature of diverse swarming phenomena is that the…

Statistical Mechanics · Physics 2023-04-05 Yang Tian , Yunhui Xu , Pei Sun

Many organisms navigate gradients by alternating straight motions (runs) with random reorientations (tumbles), transiently suppressing tumbles whenever attractant signal increases. This induces a functional coupling between movement and…

Cell Behavior · Quantitative Biology 2017-04-12 Junjiajia Long , Steven W. Zucker , Thierry Emonet

Symmetric random walks in $R^d$ and $Z^d$ are considered. It is assumed that the jump distribution density has moderate tails, i.e., several density moments are finite, including the second one. The global (for all $x$ and $t$) asymptotic…

Probability · Mathematics 2019-07-16 S. Molchanov , B. Vainberg

A metapopulation structure in landscape ecology comprises a group of interacting spatially separated subpopulations or patches of the same species that may experience several local extinctions. This makes the investigation of survivability…

Populations and Evolution · Quantitative Biology 2017-12-22 Srilena Kundu , Soumen Majhi , Sourav Kumar Sasmal , Dibakar Ghosh , Biswambhar Rakshit