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From Weak Allee Effect to No Allee Effect in Richards’ Growth Models
2015Population dynamics have been attracting interest since many years. Among the considered models, the Richards’ equations remain one of the most popular to describe biological growth processes. On the other hand, Allee effect is currently a major focus of ecological research, which occurs when positive density-dependence dominates at low densities.
Rocha, J. Leonel +2 more
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The evidence for Allee effects
Population Ecology, 2009AbstractAllee effects are an important dynamic phenomenon believed to be manifested in several population processes, notably extinction and invasion. Though widely cited in these contexts, the evidence for their strength and prevalence has not been critically evaluated.
Kramer, Andrew M. +3 more
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Allee effects on population dynamics with delay
Chaos, Solitons & Fractals, 2008zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Merdan, Hüseyin +3 more
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Allee Effects in Metapopulation Dynamics
The American Naturalist, 1998Department of Ecology and Evolutionary Biology, University of where p is the fraction of habitats occupied by the species California, Irvine, California 92697-2525 in question, m is the colonization rate of empty patches, and e is the extinction rate of occupied patches.
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Invasion dynamics of epidemic with the Allee effect
Biosystems, 2011Investigating the likely success of epidemic invasion is important in the epidemic management and control. In the present study, the invasion of epidemic is initially introduced to a predator-prey system, both species of which are considered to be subject to the Allee effect.
Wenting Wang +4 more
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Bifurcations in a Cancer and Immune Model with Allee Effect
International Journal of Bifurcation and Chaos, 2021Modeling the interplay between immune system components and cancer cells via immunotherapy is the purpose of this work. We present a simple mathematical model of interaction between tumor cells and the immune system’s effector cells. With rigorous mathematical analysis and numerical continuation, we study the generalized Hopf bifurcations (GH), known ...
Eymard Hernández-López +1 more
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Allee Effects and the Evolution of Polymorphism in Cyclic Parthenogens [PDF]
The American Naturalist, 2014 Cyclic parthenogens alternate asexual reproduction with periodic episodes of sexual reproduction. Sexually produced free-living forms are often their only way to survive unfavorable periods. When sexual reproduction requires the mating of two self-incompatible individuals, mating limitation may generate an Allee effect, which makes small populations ...
Castel, Magda +4 more
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Hunting cooperation and Allee effects in predators
Journal of Theoretical Biology, 2017Cooperation is a ubiquitous behavior in many biological systems and is well-known for promoting Allee effects. However, few studies have paid attention to mechanisms inducing Allee effects in predators. Here, we focus on hunting cooperation and use a classical predator-prey system for identifying the impact of this mechanism.
Teixeira Alves, Mickaël +1 more
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Inverse density dependence and the Allee effect
Trends in Ecology & 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 ...
, Courchamp, , Clutton-Brock, , Grenfell
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Integrodifference equations, Allee effects, and invasions
Journal of Mathematical Biology, 2002Models that describe the spread of invading organisms often assume no Allee effect. In contrast, abundant observational data provide evidence for Allee effects. We study an invasion model based on an integrodifference equation with an Allee effect. We derive a general result for the sign of the speed of invasion.
Wang, Mei-Hui +2 more
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