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Allee effects and extinction in a lattice model [PDF]
Theoretical Population Biology, 2007 In the interest of conservation, the importance of having a large habitat available for a species is widely known. Here, we introduce a lattice-based model for a population and look at the importance of fluctuations as well as that of the population density, particularly with respect to Allee effects.
Windus, Alastair +1 more
openaire +4 more sources
Dynamical behaviour of discrete logistic equation with Allee effect in an uncertain environment
Results in Control and Optimization, 2023 The Allee effect refers to a natural occurrence where the average individual fitness of a population or species is correlated with population size or density. A demographic Allee effect having a threshold population size constitutes a strong Allee effect.
Abdul Alamin +4 more
doaj +1 more source
Allee effect from parasite spill-back. [PDF]
, 2013 The exchange of native pathogens between wild and domesticated animals can lead to novel disease threats to wildlife. However, the dynamics of wild host-parasite systems exposed to a reservoir of domesticated hosts are not well understood.
Ashander, J. +3 more
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Estimating Allee dynamics before they can be observed: polar bears as a case study. [PDF]
PLoS ONE, 2014 Allee effects are an important component in the population dynamics of numerous species. Accounting for these Allee effects in population viability analyses generally requires estimates of low-density population growth rates, but such data are ...
Péter K Molnár +2 more
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Demographic and Component Allee Effects in Southern Lake Superior Gray Wolves. [PDF]
PLoS ONE, 2016 Recovering populations of carnivores suffering Allee effects risk extinction because positive population growth requires a minimum number of cooperating individuals. Conservationists seldom consider these issues in planning for carnivore recovery because
Jennifer L Stenglein +1 more
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The presence of heterospecific males causes an Allee effect [PDF]
, 2012 The Allee effect is a positive causal relationship between any component of fitness and population density or size. Allee effects strongly affect the persistence of small or sparse populations.
Nishida, Takayoshi +3 more
core +1 more source
Stability analysis of a single species logistic model with Allee effect and feedback control
Advances in Difference Equations, 2018 A single species logistic model with Allee effect and feedback control dxdt=rx(1−x)xβ+x−axu,dudt=−bu+cx, $$\begin{aligned}& \frac{dx}{dt} = rx(1-x)\frac{x}{\beta+x}-axu, \\& \frac{du}{dt} = -bu+cx, \end{aligned}$$ where β, r, a, b, and c are all positive
Qifa Lin
doaj +1 more source
Ecosphere, 2022 Eurasian lynx (Lynx lynx) have recently naturally recolonized southern Sweden. The first documented reproduction of lynx in recent times occurred in 2003, and the population increased from 2 to 48 family groups (the unit of measurement in Swedish ...
Henrik Andrén +4 more
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Dynamics of a Predator–Prey Model with the Additive Predation in Prey
Mathematics, 2022 In this paper, we consider a predator–prey model, in which the prey’s growth is affected by the additive predation of its potential predators. Due to the additive predation term in prey, the model may exhibit the cases of the strong Allee effect, weak ...
Dingyong Bai, Xiaoxuan Zhang
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Stability and bifurcation in a Holling type II predator–prey model with Allee effect and time delay
Advances in Difference Equations, 2018 In this paper, we consider a Holling type II predator–prey model incorporating time delay and Allee effect in prey. We discuss the influence of Allee effect on the logistic equation.
Zaowang Xiao, Xiangdong Xie, Yalong Xue
doaj +1 more source