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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

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

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

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

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 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…

种群与进化 · 定量生物学 2012-02-27 Davide Vergni , Sandro Iannaccone , Stefano Berti , Massimo Cencini

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…

种群与进化 · 定量生物学 2013-11-25 Meike J. Wittmann , Wilfried Gabriel , Dirk Metzler

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

A question in evolutionary biology is why the number of males is approximately equal to that of females in many species, and Fisher's theory of equal investment answers that it is the evolutionarily stable state. The Fisherian mechanism can…

种群与进化 · 定量生物学 2019-02-05 Minjae Kim , Hyeong-Chai Jeong , Seung Ki Baek

Divergence between populations for a given trait can be driven by natural or sexual selection, interacting with migration behaviour. Mating preference for different phenotypes can lead to the emergence and persistence of differentiated…

种群与进化 · 定量生物学 2018-01-25 Charline Smadi , Helene Leman , Violaine Llaurens

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…

种群与进化 · 定量生物学 2022-03-02 Yogesh Trivedi , Ram Singh , Anushaya Mohapatra

We model a spatially detailed, two-sex population dynamics, to study the cost of ecological restoration. We assume that cost is proportional to the number of individuals introduced into a large habitat. We treat dispersal as homogeneous…

种群与进化 · 定量生物学 2014-03-20 F. Molnar , C. Caragine , T. Caraco , G. Korniss

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

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

Commonly recognized evolutionarily relevant effects of sexual reproduction include increased diversity, accelerated adaptation, and constrained accumulation of deleterious mutations, along with a secondary effect of species genotype…

种群与进化 · 定量生物学 2025-06-17 Assaf Marron , Smadar Szekely , Irun R. Cohen , David Harel

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

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…

种群与进化 · 定量生物学 2022-01-27 Rodrigo Crespo , Javier Jarillo , Francisco J. Cao-García

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…

The use of predator-prey models in theoretical ecology has a long history, and the model equations have largely evolved since the original Lotka-Volterra system towards more realistic descriptions of the processes of predation, reproduction…

种群与进化 · 定量生物学 2021-09-21 Deeptajyoti Sen , Andrew Morozov , S. Ghorai , Malay Banerjee

We study the evolution in discrete time of certain age-structured populations, such as adults and juveniles, with a Ricker fitness function. We determine conditions for the convergence of orbits to the origin (extinction) in the presence of…

动力系统 · 数学 2017-02-10 N. Lazaryan , H. Sedaghat
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