منابع مشابه
The stochastic encounter-mating model
We propose a new model of permanent monogamous pair formation in zoological populations with multiple types of females and males. According to this model, animals randomly encounter members of the opposite sex at their so-called firing times to form temporary pairs which then become permanent if mating happens. Given the distributions of the firing times and the mating preferences upon encounte...
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Stochastic encounter-mating (SEM) models describe monogamous permanent pair formation in finite zoological populations of multitype females and males. In this article, we study SEM with Poisson firing times. First, we prove that the model enjoys a fluid limit as the population size diverges, i.e., the stochastic dynamics converges to a deterministic system governed by coupled ODEs. Then, we con...
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We model a social-encounter network where linked nodes match for reproduction in a manner depending probabilistically on each node's attractiveness. The developed model reveals that increasing either the network's mean degree or the "choosiness" exercised during pair formation increases the strength of positive assortative mating. That is, we note that attractiveness is correlated among mated n...
متن کاملA stochastic model for speciation by mating preferences.
Mechanisms leading to speciation are a major focus in evolutionary biology. In this paper, we present and study a stochastic model of population where individuals, with type a or A, are equivalent from ecological, demographical and spatial points of view, and differ only by their mating preference: two individuals with the same genotype have a higher probability to mate and produce a viable off...
متن کاملA stochastic model for reproductive isolation under asymmetrical mating preferences
More and more evidence shows that mating preference is a mechanism that can lead to a reproductive isolation event. In this paper, we consider a haploid population living on two patches linked by migration. Individuals are ecologically and demographically neutral on the space and differ only on a trait, a or A, determining both mating success and migration rate. The special feature of this pape...
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ژورنال
عنوان ژورنال: Acta Applicandae Mathematicae
سال: 2016
ISSN: 0167-8019,1572-9036
DOI: 10.1007/s10440-016-0079-9