منابع مشابه
An Economical Model with Allee effect
The Marx model for the profit rate r depending on the exploitation rate e and on the organic composition of the capital k is studied using a dynamical approach. Supposing both e(t) and k(t) are continuous functions of time we derive a law for r(t) in the long term. Depending upon the hypothesis set on the growth of k(t) and e(t) in the long term, r(t) can fall to zero or remain constant. This l...
متن کاملStability Analysis of a Population Dynamics Model with Allee Effect
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.
متن کاملPopulation models with Allee effect: a new model.
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...
متن کاملA Food Chain Model with Strong Allee Effect in Prey
In recent years, there has been an intense focus on the construction of mathematical models involving certain interesting ecological phenomena like Allee effect. Many animal and plant species suffer a decrease of the per capita rate of increase as their populations reach small sizes or low densities. In this article, a three species food chain model is proposed and analysed where prey species i...
متن کاملGenetic diversity in introduced populations with an Allee effect.
A phenomenon that strongly influences the demography of small introduced populations and thereby potentially their genetic diversity is the demographic Allee effect, a reduction in population growth rates at small population sizes. We take a stochastic modeling approach to investigate levels of genetic diversity in populations that successfully overcame either a strong Allee effect, in which po...
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ژورنال
عنوان ژورنال: Journal of Difference Equations and Applications
سال: 2009
ISSN: 1023-6198,1563-5120
DOI: 10.1080/10236190802468920