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Allee Effect and Control of Lake System Invasion
Bulletin of Mathematical Biology, 2008 We consider the model of invasion prevention in a system of lakes that are connected via traffic of recreational boats. It is shown that, in presence of an Allee effect, the general optimal control problem can be reduced to a significantly simpler stationary optimization problem of optimal invasion stopping.
Potapov, A. B., Lewis, Mark A.
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Inverse density dependence and the Allee effect
Trends in Ecology and Evolution, 1999The Allee effect describes a scenario in which populations at low numbers are affected by a positive relationship between population growth rate and density, which increases their likelihood of extinction. The importance of this dynamic process in ecology has been under-appreciated and recent evidence now suggests that it might have an impact on the ...
Franck Courchamp +2 more
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Allee Effects, Invasion Pinning, and Species’ Borders
The American Naturalist, 2001 All species’ ranges are the result of successful past invasions. Thus, models of species’ invasions and their failure can provide insight into the formation of a species’ geographic range. Here, we study the properties of invasion models when a species cannot persist below a critical population density known as an “Allee threshold.” In both spatially ...
Holt, R. D. +2 more
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The American Naturalist, 2022
Allee effects are common to diverse taxa but their consequences for coexistence are poorly understood. Recent studies suggest they cause priority effects through ‘inverse’, or positive, density dependence when a population is at low density, but mathematical theory suggests more outcomes are possible.
Emma Walker, Benjamin Gilbert
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Allee effects are common to diverse taxa but their consequences for coexistence are poorly understood. Recent studies suggest they cause priority effects through ‘inverse’, or positive, density dependence when a population is at low density, but mathematical theory suggests more outcomes are possible.
Emma Walker, Benjamin Gilbert
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The Effect of Directed Movement on the Strong Allee Effect
SIAM Journal on Applied Mathematics, 2021zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Chris Cosner, Nancy Rodriguez 0003
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Role of Allee effect on prey–predator model with component Allee effect for predator reproduction
Mathematics and Computers in Simulation, 2022zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Udai Kumar, Partha Sarathi Mandal 0002
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General Allee effect in two-species population biology [PDF]
Journal of Biological Dynamics, 2012 The main objective of this work is to present a general framework for the notion of the strong Allee effect in population models, including competition, mutualistic, and predator–prey models.
George Livadiotis
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Population models with Allee effect: a new model [PDF]
Journal of Biological Dynamics, 2010 In this paper we develop several mathematical models of Allee effects. We start by defining the Allee effect as a phenomenon in which individual fitness increases with increasing density.
Robert Sacker, Saber N Elaydi
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Generalized Allee effect model
Theory in Biosciences, 2014The Allee effect consists of a positive correlation between very small population size and fitness. Offering a new view point on the weak and strong demographic Allee effect, we propose to combine them with the Richards growth model. In particular, a peculiar manifestation of the Allee effect is analytically predicted and still not validated by ...
Lindomar S. dos Santos +2 more
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Oikos, 1999
W. C. Allee brought attention to the possibility of a positive relationship between aspects of fitness and population size over fifty years ago. This phenomenon, frequently termed the Allee effect, has been the focus of increased interest over the past two decades in the light of concerns over conservation and the problems of rarity.
P. A. Stephens +2 more
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W. C. Allee brought attention to the possibility of a positive relationship between aspects of fitness and population size over fifty years ago. This phenomenon, frequently termed the Allee effect, has been the focus of increased interest over the past two decades in the light of concerns over conservation and the problems of rarity.
P. A. Stephens +2 more
openaire +1 more source