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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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Allee Effects and the Risk of Biological Invasion
Risk Analysis, 2004The Allee effect is a nonlinear phenomenon exhibited in the population dynamics of sparse populations in which the per capita population growth rate increases with increasing population density. In sufficiently sparse populations, the Allee effect may lead to extinction and is known to generate a threshold in the probability of establishment when ...
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Population Dynamic Consequences of Allee Effects
Journal of Theoretical Biology, 2002We take a well-known dynamic model of an isolated, unstructured population and modify this to include a factor that allows for a reduction in fitness due to declining population sizes, often termed an Allee effect. Analysis of the behaviour of this model is carried out on two fronts - determining the equilibrium values and examining the stability of ...
M S, Fowler, G D, Ruxton
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Allee effect in a prey–predator system
Chaos, Solitons & Fractals, 2008zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Hadjiavgousti, Despina +1 more
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Allee-like effects in metapopulation dynamics
Mathematical Biosciences, 2004The existences of the Allee effect at the local population level and of the Allee-like effect at the metapopulation level are important for both ecology and conservation. Although there have been a great many papers on the Allee effect, they have mainly referred to only local populations and have not dealt with the relationship between the two. In this
Zhou, Shu-Rong, Wang, Gang
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Population dispersal and Allee effect
Ricerche di Matematica, 2016zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Mass antibiotics for trachoma and the Allee effect
The Lancet Infectious Diseases, 2005Jaya D, Chidambaram +3 more
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