Results 171 to 180 of about 12,706 (203)
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Spatial spread of epidemic with Allee effect
Physical Review E, 2023The spatial spread of an epidemic is investigated in the case of a bistable dynamics, where the effective transmission rate depends on the fraction of infected and the state of no epidemic is linearly stable. The front propagation phenomenon is investigated both numerically and theoretically, by an analysis in a four-dimensional phase plane.
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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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Allee Effects, Invasion Pinning, and Species’ Borders
The American Naturalist, 2001All 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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Allee Effect and Control of Lake System Invasion
Bulletin of Mathematical Biology, 2008We 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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Population dispersal and Allee effect
Ricerche di Matematica, 2016zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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