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We propose a model of multispecies populations surviving on distributed resources. System dynamics are investigated under changes in abiotic factors such as the climate, as parameterized through environmental temperature. In particular, we…

种群与进化 · 定量生物学 2017-10-25 I. Sudakov , S. A. Vakulenko , D. Kirievskaya , K. M. Golden

The Alaskan landscape has undergone substantial changes in recent decades, most notably the expansion of shrubs and trees across the Arctic. We developed a dynamic statistical model to quantify the impact of climate change on the structural…

应用统计 · 统计学 2022-08-17 Xinyi Lu , Mevin B. Hooten , Ann M. Raiho , David K. Swanson , Carl A. Roland , Sarah E. Stehn

Mutualistic interactions, where individuals from different species can benefit from each other, are widespread across ecosystems. This study develops a general deterministic model of mutualism involving two populations, assuming that…

种群与进化 · 定量生物学 2026-02-26 Chloë Mian , Sylvain Billiard , Violaine Llaurens , Charline Smadi

Spontaneous synchronisation is a collective phenomenon that can occur in both dynamical classical and quantum systems. Here, we analyse the spontaneous synchronisation dynamics of vibrations assisting energy transfer in a bio-inspired…

量子物理 · 物理学 2020-09-30 Stefan Siwiak-Jaszek , Thao P. Le , Alexandra Olaya-Castro

The contact process is a simple model for the spread of an infection in a structured population. We investigate the case when the underlying structure evolves dynamically as a degree-dependent dynamical percolation model. Starting with a…

概率论 · 数学 2026-03-11 Natalia Cardona-Tobón , Marcel Ortgiese , Marco Seiler , Anja Sturm

Explaining the wide range of dynamics observed in ecological communities is challenging due to the large number of species involved, the complex network of interactions among them, and the influence of multiple environmental variables.…

种群与进化 · 定量生物学 2025-03-28 Francesco Ferraro , Christian Grilletta , Emanuele Pigani , Samir Suweis , Sandro Azaele , Amos Maritan

In this study, a spatially distributed reaction-diffusion-advection (RDA) model with harvesting is investigated to signify the outcome of a competition between two competing species in a heterogeneous environment. The study builds upon the…

综合数学 · 数学 2024-12-03 Md. Kamrujjaman , Mayesha Sharmim Tisha

The Lotka-Volterra system is a set of ordinary differential equations describing growth of interacting ecological species. This model has gained renewed interest in the context of random interaction networks. One of the debated questions is…

动力系统 · 数学 2024-04-23 M. N. Mooij , M. Baudena , A. S. von der Heydt , I. Kryven

We consider a contact process on $Z^d$ with two species that interact in a symbiotic manner. Each site can either be vacant or occupied by individuals of species $A$ and/or $B$. Multiple occupancy by the same species at a single site is…

概率论 · 数学 2019-12-11 Rick Durrett , Dong Yao

Understanding the causes and effects of spatial vegetation patterns is a fundamental problem in ecology, especially because these can be used as early predictors of catastrophic shifts such as desertification processes. Empirical studies of…

统计力学 · 物理学 2020-06-19 Paula Villa Martín , Virginia Domínguez-García , Miguel A. Muñoz

Quantifying population dynamics is a fundamental challenge in ecology and evolutionary biology, particularly for species that are cryptic, microscopic, or extinct. Traditional approaches rely on continuous representations of population…

种群与进化 · 定量生物学 2025-02-18 Justin D. Yeakel

Many-variable differential equations with random coefficients provide powerful models for the dynamics of many interacting species in ecology. These models are known to exhibit a dynamical phase transition from a phase where population…

统计力学 · 物理学 2025-02-19 Thibaut Arnoulx de Pirey , Guy Bunin

We investigate the emergence of sustained spatio-temporal behaviors in reaction-phase separation systems. We focus on binary systems, in which either one or both species can phase separate, and we discuss the stability of the homogeneous…

斑图形成与孤子 · 物理学 2024-08-08 Dino Osmanovic , Elisa Franco

The scarcity of water characterising drylands forces vegetation to adopt appropriate survival strategies. Some of these generate water-vegetation feedback mechanisms that can lead to spatial self-organisation of vegetation, as it has been…

生物物理 · 物理学 2013-08-30 John Realpe-Gomez , Mara Baudena , Tobias Galla , Alan J. McKane , Max Rietkerk

The dynamics of species' densities depend both on internal and external variables. Internal variables include frequencies of individuals exhibiting different phenotypes or living in different spatial locations. External variables include…

种群与进化 · 定量生物学 2019-03-28 Michel Benaïm , Sebastian J. Schreiber

In the background dynamics of a spatially flat FLRW model of the universe, we investigate an interacting dark energy model in the context of Lyra's geometry. Pressure-less dust is considered as dark matter, mass of which varies with time…

广义相对论与量子宇宙学 · 物理学 2022-05-04 Goutam Mandal , Sujay Kr. Biswas

Patterns in a semiarid ecosystem are important because they directly and indirectly affect ecological processes, biodiversity, and ecosystem resilience. Understanding the causes and effects of these patterns is critical for long-term land…

种群与进化 · 定量生物学 2023-12-05 Swadesh Pal , Malay Banerjee , Roderick Melnik

A complex interplay between species governs the evolution of spatial patterns in ecology. An open problem in the biological sciences is characterising spatio-temporal data and understanding how changes at the local scale affect global…

Anthropisation and excessive hunting in tropical forests threaten biodiversity, ecosystem maintenance and human food security. In this article, we focus on the issue of coexistence between humans and wildlife in an anthropised environment.…

动力系统 · 数学 2025-11-07 Yves Dumont , Marc Hétier , Valaire Ivric Yatat-Djeumen

We present a detailed study of simple `tree' models for off equilibrium dynamics and aging in glassy systems. The simplest tree describes the landscape of a random energy model, whereas multifurcating trees occur in the solution of the…

凝聚态物理 · 物理学 2009-10-22 J-P. Bouchaud , D. S. Dean