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A phenomenon that strongly influences the demography of small introduced populations and thereby potentially their genetic diversity is the Allee effect, a reduction in population growth rates at small population sizes. We take a stochastic…

Populations and Evolution · Quantitative Biology 2013-11-25 Meike J. Wittmann , Wilfried Gabriel , Dirk Metzler

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…

Populations and Evolution · Quantitative Biology 2013-11-22 Meike J. Wittmann , Wilfried Gabriel , Dirk Metzler

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…

Analysis of PDEs · Mathematics 2024-08-05 Fanze Kong , Juncheng Wei

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…

Probability · Mathematics 2014-05-08 Gregory Roth , Sebastian Schreiber

The population size has far-reaching effects on the fitness of the population, that, in its turn influences the population extinction or persistence. Understanding the density- and age-dependent factors will facilitate more accurate…

Dynamical Systems · Mathematics 2021-02-12 Jonathan Andersson , Vladimir Kozlov , Vladimir G. Tkachev , Sonja Radosavljevic , Uno Wennergren

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…

Dynamical Systems · Mathematics 2020-04-24 Irina Vortkamp , Sebastian J. Schreiber , Alan Hastings , Frank M. Hilker

An Allee effect occurs when the per-capita growth rate increases at low densities. Here, we investigate the evolutionary stability of a partial migration population with migrant population experiencing Allee effects. Partial migration is a…

Populations and Evolution · Quantitative Biology 2022-03-02 Yogesh Trivedi , Ram Singh , Anushaya Mohapatra

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…

Analysis of PDEs · Mathematics 2018-01-23 Matthieu Alfaro , Arnaud Ducrot

The establishment and spreading of biological populations depends crucially on population growth at low densities. The Allee effect is a problem in those populations where the per-capita growth rate at low densities is reduced. We examine…

Statistical Mechanics · Physics 2011-04-12 Michael T. Gastner , Beata Oborny , Alexey B. Ryabov , Bernd Blasius

Understanding the influence of an environment on the evolution of its resident population is a major challenge in evolutionary biology. Great progress has been made in homogeneous population structures while heterogeneous structures have…

Populations and Evolution · Quantitative Biology 2014-07-30 Wes Maciejewski , Gregory J. Puleo

Many species are unsustainable at small population densities (Allee Effect), i.e., below a threshold named Allee threshold, the population decreases instead of growing. In a closed local population, environmental fluctuations always lead to…

Populations and Evolution · Quantitative Biology 2022-01-27 Rodrigo Crespo , Javier Jarillo , Francisco J. Cao-García

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…

Populations and Evolution · Quantitative Biology 2014-02-18 Fabiano Lemes Ribeiro

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…

Probability · Mathematics 2012-05-15 Davide Borrello

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…

Classical Analysis and ODEs · Mathematics 2010-03-02 Yun Kang , Nicolas Lanchier

This study assessed the effects of migration on the dynamics of a species population. It was considered that the species in its natural state and without the presence of migration exhibited Allee effect. This work also considered migration…

Populations and Evolution · Quantitative Biology 2018-09-14 Gustavo Ossandon , Ricardo Castro-Santis

We investigate invasions from a biological reservoir to an initially empty, heterogeneous habitat in the presence of advection. The habitat consists of a periodic alternation of favorable and unfavorable patches. In the latter the…

Populations and Evolution · Quantitative Biology 2012-02-27 Davide Vergni , Sandro Iannaccone , Stefano Berti , Massimo Cencini

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…

Populations and Evolution · Quantitative Biology 2015-06-11 Eitan Y. Levine , Baruch Meerson

We model sex-structured population dynamics to analyze pairwise competition between groups differing both genetically and culturally. A sex-ratio allele is expressed in the heterogametic sex only, so that assumptions of Fisher's analysis do…

Populations and Evolution · Quantitative Biology 2012-09-10 F. Molnar , T. Caraco , G. Korniss

Understanding the causes and effects of spatial aggregation is one of the most fundamental problems in ecology. Aggregation is an emergent phenomenon arising from the interactions between the individuals of the population, able to sense…

Populations and Evolution · Quantitative Biology 2015-06-05 Juan A. Bonachela , Miguel A. Munoz , Simon A. Levin

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…

Populations and Evolution · Quantitative Biology 2007-05-23 Alastair Windus , Henrik Jeldtoft Jensen
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