General Allee effect in two-species population biology
نویسندگان
چکیده
منابع مشابه
General Allee effect in two-species population biology.
The main objective of this work is to present a general framework for the notion of the strong Allee effect in population models, including competition, mutualistic, and predator-prey models. The study is restricted to the strong Allee effect caused by an inter-specific interaction. The main feature of the strong Allee effect is that the extinction equilibrium is an attractor. We show how a 'ph...
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We formalize the establishment process for a sexual, semelparous organism through the use of hierarchical probability modeling from parameters of survival, probability of being female, probability of being fertilized, and expected fecundity. We show how to calculate the expected per capita growth rate and probability of extinction. An Allee effect is observed if the expected population growth r...
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Standard economic theory predicts that exploitation alone is unlikely to result in species extinction because of the escalating costs of finding the last individuals of a declining species. We argue that the human predisposition to place exaggerated value on rarity fuels disproportionate exploitation of rare species, rendering them even rarer and thus more desirable, ultimately leading them int...
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In this study, we focus on the stability analysis of equilibrium points of population dynamics with delay when the Allee effect occurs at low population density is considered. Mainly, mathematical results and numerical simulations illustrate the stabilizing effect of the Allee effects on population dynamics with delay.
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In this paper, we develop several population models with Allee effects. We start by defining the Allee effect as a phenomenon in which individual fitness increases with increasing density. Based on this biological assumption, we develop several fitness functions that produce corresponding models with Allee effects. In particular, a rational fitness function yields a new mathematical model, whic...
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ژورنال
عنوان ژورنال: Journal of Biological Dynamics
سال: 2012
ISSN: 1751-3758,1751-3766
DOI: 10.1080/17513758.2012.700075