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The idea of a metapopulation has become canonical in ecology. Its original mean field form provides the important intuition that migration and extinction interact to determine the dynamics of a population composed of subpopulations. From…

种群与进化 · 定量生物学 2021-07-01 John Vandermeer , Zachary Hajian-Forooshani

In ecology, species can mitigate their extinction risks in uncertain environments by diversifying individual phenotypes. This observation is quantified by the theory of bet-hedging, which provides a reason for the degree of phenotypic…

种群与进化 · 定量生物学 2019-06-19 Paula Villa Martín , Miguel A. Muñoz , Simone Pigolotti

We study a generic reaction-diffusion model for single-species population dynamics that includes reproduction, death, and competition. The population is assumed to be confined in a refuge beyond which conditions are so harsh that they lead…

统计力学 · 物理学 2009-11-10 C. Escudero , J. Buceta , F. J. de la Rubia , Katja Lindenberg

This paper proposes a non-phenomenological model of population growth that is based on the interactions between the individuals that compose the system. It is assumed that the individuals interact cooperatively and competitively. As a…

种群与进化 · 定量生物学 2014-02-18 Fabiano Lemes Ribeiro

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…

种群与进化 · 定量生物学 2012-03-21 S. Suweis , E. Bertuzzo , L. Mari , I. Rodriguez-Iturbe , A. Maritan , A. Rinaldo

Conventional wisdom suggests that environmental noise drives populations toward extinction. In contrast, we report a paradoxical phenomenon in which stochasticity reverses a deterministic tipping point, thereby preventing collapse. Using a…

种群与进化 · 定量生物学 2025-07-08 Vinesh Vijayan , B Priyadharshini , R Sathish Kumar , G Janaki

Spatial metapopulation models are fundamental to theoretical ecology, enabling to study how landscape structure influences global species dynamics. Traditional models, including recent generalizations, often rely on the deterministic limit…

种群与进化 · 定量生物学 2025-06-24 Alice Doimo , Giorgio Nicoletti , Davide Bernardi , Prajwal Padmanabha

We study the evolutionary dynamics of a phenotypically structured population in a changing environment , where the environmental conditions vary with a linear trend but in an oscillatory manner. Such phenomena can be described by parabolic…

偏微分方程分析 · 数学 2021-05-04 Susely Figueroa Iglesias , Sepideh Mirrahimi

There is mounting empirical evidence that many communities of living organisms display key features which closely resemble those of physical systems at criticality. We here introduce a minimal model framework for the dynamics of a community…

生物物理 · 物理学 2020-02-17 Fabio Peruzzo , Mauro Mobilia , Sandro Azaele

Ecosystems, which are intricate amalgams of biological communities and their surrounding environments, continually evolve under the influence of their myriad interactions. The world is currently facing intensifying environmental…

生物物理 · 物理学 2023-11-23 Ikumi Kobayashi

It is well known that excessive harvesting or hunting has driven species to extinction both on local and global scales. This leads to one of the fundamental problems of conservation ecology: how should we harvest a population so that…

概率论 · 数学 2021-02-18 Alexandru Hening , Ky Tran

We study a spatially explicit harvesting model in periodic or bounded environments. The model is governed by a parabolic equation with a spatially dependent nonlinearity of Kolmogorov--Petrovsky--Piskunov type, and a negative external…

偏微分方程分析 · 数学 2010-06-15 Lionel Roques , Mickaël D. Chekroun

Ecosystems frequently display the coexistence of diverse species under resource competition, typically resulting in skewed distributions of rarity and abundance. A potential driver of such coexistence is environmental fluctuations that…

种群与进化 · 定量生物学 2025-08-07 Davide Zanchetta , Deepak Gupta , Sofia Moschin , Samir Suweis , Amos Maritan , Sandro Azaele

We are interested in populations in which the fitness of different genetic types fluctuates in time and space, driven by temporal and spatial fluctuations in the environment. For simplicity, our population is assumed to be composed of just…

概率论 · 数学 2018-12-21 Niloy Biswas , Alison Etheridge , Aleksander Klimek

One of the most salient spatio-temporal patterns in population ecology is the synchronization of fluctuating local populations across vast spatial extent. Synchronization of abundance has been widely observed across a range of spatial…

种群与进化 · 定量生物学 2017-06-01 Emily Wall , Frederic Guichard , Antony R. Humphries

Ecological communities with many species can be classified into dynamical phases. In systems with all-to-all interactions, a phase where a fixed point is always reached and a dynamically-fluctuating phase have been found. The dynamics when…

种群与进化 · 定量生物学 2023-08-04 Stav Marcus , Ari M Turner , Guy Bunin

This article is concerned with a version of the contact process with sexual reproduction on a graph with two levels of interactions modeling metapopulations. The population is spatially distributed into patches and offspring are produced in…

概率论 · 数学 2013-07-26 Nicolas Lanchier

Previously, we developed a population model incorporating the Allee effect and periodic environmental fluctuations, in which organisms alternate between nomadic and colonial behaviours. This switching strategy is regulated by biological…

种群与进化 · 定量生物学 2018-01-24 Jin Ming Koh , Kang Hao Cheong

The question of whether a population will persist or go extinct is of key interest throughout ecology and biology. Various mathematical techniques allow us to generate knowledge regarding individual behaviour, which can be analysed to…

种群与进化 · 定量生物学 2021-04-28 Stuart T. Johnston , Matthew J. Simpson , Edmund J. Crampin

We investigate the evolutionary rescue of a microbial population in a gradually deteriorating environment, through a combination of analytical calculations and stochastic simulations. We consider a population destined for extinction in the…

种群与进化 · 定量生物学 2020-12-17 Loïc Marrec , Anne-Florence Bitbol