scholarly journals Multiple Allee effects and population management

2007 ◽  
Vol 22 (4) ◽  
pp. 185-191 ◽  
Author(s):  
Luděk Berec ◽  
Elena Angulo ◽  
Franck Courchamp
Keyword(s):  
Population Management ◽  
Allee Effects

Stability analysis of a Lotka-Volterra type predator-prey system involving Allee effects

2011 ◽  
Vol 52 ◽  
pp. 139 ◽  
Author(s):  
Huseyin Merdan
Keyword(s):  
Stability Analysis ◽  
Allee Effects ◽  
Volterra Type ◽  
Predator Prey ◽  
Prey System

Allee Effects in Metapopulation Dynamics

1998 ◽  
Vol 152 (2) ◽  
pp. 298
Author(s):  
Amarasekare
Keyword(s):  
Metapopulation Dynamics ◽  
Allee Effects

scholarly journals Minimizing Potential Allee Effects in Psittacine Reintroductions: An Example from Puerto Rico

Diversity ◽  
2021 ◽  
Vol 13 (1) ◽  
pp. 13
Author(s):  
Thomas H. White ◽  
Wilfredo Abreu ◽  
Gabriel Benitez ◽  
Arelis Jhonson ◽  
Marisel Lopez ◽  
...  
Keyword(s):  
Puerto Rico ◽  
Site Fidelity ◽  
Conservation Strategies ◽  
Allee Effects ◽  
Species Reintroduction ◽  
Social Species ◽  
Potential Applicability ◽  
Amazona Vittata ◽  
Puerto Rican Parrot ◽  
Release Strategy

The family Psittacidae is comprised of over 400 species, an ever-increasing number of which are considered threatened with extinction. In recent decades, conservation strategies for these species have increasingly employed reintroduction as a technique for reestablishing populations in previously extirpated areas. Because most Psittacines are highly social and flocking species, reintroduction efforts may face the numerical and methodological challenge of overcoming initial Allee effects during the critical establishment phase of the reintroduction. These Allee effects can result from failures to achieve adequate site fidelity, survival and flock cohesion of released individuals, thus jeopardizing the success of the reintroduction. Over the past 20 years, efforts to reestablish and augment populations of the critically endangered Puerto Rican parrot (Amazona vittata) have periodically faced the challenge of apparent Allee effects. These challenges have been mitigated via a novel release strategy designed to promote site fidelity, flock cohesion and rapid reproduction of released parrots. Efforts to date have resulted in not only the reestablishment of an additional wild population in Puerto Rico, but also the reestablishment of the species in the El Yunque National Forest following its extirpation there by the Category 5 hurricane Maria in 2017. This promising release strategy has potential applicability in reintroductions of other psittacines and highly social species in general.

scholarly journals The influence of density in population dynamics with strong and weak Allee effect

2021 ◽  
Vol 29 (1) ◽  
Author(s):  
Kamrun Nahar Keya ◽  
Md. Kamrujjaman ◽  
Md. Shafiqul Islam
Keyword(s):  
Population Dynamics ◽  
Allee Effect ◽  
Global Bifurcation ◽  
Reaction Diffusion ◽  
Logistic Growth ◽  
Allee Effects ◽  
Reaction Diffusion Model ◽  
Positive Steady States ◽  
The Stability ◽  
The Impact

AbstractIn this paper, we consider a reaction–diffusion model in population dynamics and study the impact of different types of Allee effects with logistic growth in the heterogeneous closed region. For strong Allee effects, usually, species unconditionally die out and an extinction-survival situation occurs when the effect is weak according to the resource and sparse functions. In particular, we study the impact of the multiplicative Allee effect in classical diffusion when the sparsity is either positive or negative. Negative sparsity implies a weak Allee effect, and the population survives in some domain and diverges otherwise. Positive sparsity gives a strong Allee effect, and the population extinct without any condition. The influence of Allee effects on the existence and persistence of positive steady states as well as global bifurcation diagrams is presented. The method of sub-super solutions is used for analyzing equations. The stability conditions and the region of positive solutions (multiple solutions may exist) are presented. When the diffusion is absent, we consider the model with and without harvesting, which are initial value problems (IVPs) and study the local stability analysis and present bifurcation analysis. We present a number of numerical examples to verify analytical results.

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