Abstract:
:More and more evidence shows that mating preference is a mechanism that may lead to a reproductive isolation event. In this paper, a haploid population living on two patches linked by migration is considered. Individuals are ecologically and demographically neutral on the space and differ only on a trait, a or A, affecting both mating success and migration rate. The special feature of this paper is to assume that the strengths of the mating preference and the migration depend on the trait carried. Indeed, patterns of mating preferences are generally asymmetrical between the subspecies of a population. I prove that mating preference interacting with frequency-dependent migration behavior can lead to a reproductive isolation. Then, I describe the time before reproductive isolation occurs. To reach this result, I use an original method to study the limiting dynamical system, analyzing first the system without migration and adding migration with a perturbation method. Finally, I study how the time before reproductive isolation is influenced by the parameters of migration and of mating preferences, highlighting that large migration rates tend to favor types with weak mating preferences.
journal_name
Bull Math Bioljournal_title
Bulletin of mathematical biologyauthors
Leman Hdoi
10.1007/s11538-018-0479-2subject
Has Abstractpub_date
2018-09-01 00:00:00pages
2502-2525issue
9eissn
0092-8240issn
1522-9602pii
10.1007/s11538-018-0479-2journal_volume
80pub_type
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