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Environmental fluctuations can create population-depleted areas and even extinct areas for the population. This effect is more severe in the presence of the Allee effect (decreasing growth rate at low population densities). Dispersal inside…

种群与进化 · 定量生物学 2022-02-23 Rodrigo Crespo-Miguel , Javier Jarillo , Francisco J. Cao-García

A demographic Allee effect occurs when individual fitness, at low densities, increases with population density. Coupled with environmental fluctuations in demographic rates, Allee effects can have subtle effects on population persistence…

概率论 · 数学 2014-05-08 Gregory Roth , Sebastian Schreiber

We investigate the impact of Allee effect and dispersal on the long-term evolution of a population in a patchy environment, focusing on whether a population already established in one patch either successfully invades an adjacent empty…

经典分析与常微分方程 · 数学 2010-03-02 Yun Kang , Nicolas Lanchier

The strong Allee effect plays an important role on the evolution of population in ecological systems. One important concept is the Allee threshold that determines the persistence or extinction of the population in a long time. In general, a…

偏微分方程分析 · 数学 2024-08-05 Fanze Kong , Juncheng Wei

We look at the interaction of dispersal and environmental stochasticity in $n$-patch models. We are able to prove persistence and extinction results even in the setting when the dispersal rates are stochastic. As applications we look at…

种群与进化 · 定量生物学 2025-11-26 Alexandru Hening , Siddharth Sabharwal

In the interest of conservation, the importance of having a large habitat available for a species is widely known. Here, we introduce a lattice-based model for a population and look at the importance of fluctuations as well as that of the…

种群与进化 · 定量生物学 2007-05-23 Alastair Windus , Henrik Jeldtoft Jensen

As a result of climate change, many populations have to modify their range to follow the suitable areas - their "climate envelope" - often risking extinction. During this migration process, they may face absolute boundaries to dispersal,…

偏微分方程分析 · 数学 2009-07-07 Lionel Roques , Alain Roques , Henri Berestycki , André Kretzschmar

This article is concerned with a stochastic multi-patch model in which each local population is subject to a strong Allee effect. The model is obtained by using the framework of interacting particle systems to extend a stochastic two-patch…

概率论 · 数学 2013-01-03 Nicolas Lanchier

We consider the system of reaction-diffusion equations proposed in [8] as a population dynamics model. The first equation stands for the population density and models the ecological effects, namely dispersion and growth with a Allee effect…

偏微分方程分析 · 数学 2018-01-23 Matthieu Alfaro , Arnaud Ducrot

We use interacting particle systems to investigate survival and extinction of a species with colonies located on each site of $\mathbb {Z}^d$. In each of the four models studied, an individual in a local population can reproduce, die or…

概率论 · 数学 2012-05-15 Davide Borrello

We present a discrete-time model of a spatially structured population and explore the effects of coupling when the local dynamics contain a strong Allee effect and overcompensation. While an isolated population can exhibit only bistability…

动力系统 · 数学 2020-04-24 Irina Vortkamp , Sebastian J. Schreiber , Alan Hastings , Frank M. Hilker

We study the combined impact of a colored environmental noise and demographic noise on the extinction risk of a long-lived and well-mixed isolated stochastic population which exhibits the Allee effect. The environmental noise modulates the…

种群与进化 · 定量生物学 2015-06-11 Eitan Y. Levine , Baruch Meerson

The Allee effect describes a decline in population fitness at low densities, potentially leading to extinction. In predator-prey systems, an emergent Allee effect can arise due to interactions such as density-dependent maturation rates and…

种群与进化 · 定量生物学 2025-03-25 Carlos Granados , Leon A. Valencia

The survival of populations hinges on their ability to offset local extinctions through new colonizations. The dispersal area ($A$) plays a crucial role in this process, as it determines the probability of finding colonizable vacant sites.…

种群与进化 · 定量生物学 2026-01-05 Róbert Juhász , Igor D. Kovács , Beáta Oborny

In population biology, the Allee dynamics refer to negative growth rates below a critical population density. In this Letter, we study a reaction-diffusion (RD) model of population growth and dispersion in one dimension, which incorporates…

细胞行为 · 定量生物学 2017-08-02 Indrani Bose , Mainak Pal , Chiranjit Karmakar

Many species see their range shifted poleward in response to global warming and need to keep pace in order to survive. To understand the effect of climate change on species ranges and its consequences on population dynamics, we consider a…

偏微分方程分析 · 数学 2016-01-26 Juliette Bouhours , Thomas Giletti

This work is devoted to the study of a stochastic logistic growth model with and without the Allee effect. Such a model describes the evolution of a population under environmental stochastic fluctuations and is in the form of a stochastic…

种群与进化 · 定量生物学 2020-08-05 Almaz Tesfay , Daniel Tesfay , James Brannan , Jinqiao Duan

A strong demographic Allee effect in which the expected population growth rate is negative below a certain critical population size can cause high extinction probabilities in small introduced populations. However, many species are…

种群与进化 · 定量生物学 2013-11-22 Meike J. Wittmann , Wilfried Gabriel , Dirk Metzler

Dispersal is an important strategy that allows organisms to locate and exploit favorable habitats. The question arises: given competition in a spatially heterogeneous landscape, what is the optimal rate of dispersal? Continuous population…

种群与进化 · 定量生物学 2010-02-05 Jack N. Waddell , Leonard M. Sander , Charles R. Doering

How diffusion impacts on ecological dynamics under the Allee effect and spatial constraints? That is the question we address. Employing a microscopic minimal model in a metapopulation (without imposing nonlinear birth and death rates) we…

种群与进化 · 定量生物学 2019-11-27 Marcelo A. Pires , Sílvio M. Duarte Queirós
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