2017/09/18 by Hélène Leman, Helene Leman, Leman, Helene
Biochemistry, Genetics and Molecular Biology · Mathematics · Medicine · Social Sciences · #37N25 #60J27 #92D40 #Dynamical Systems (math.DS) #Evolution and Genetic Dynamics #Evolutionary Game Theory and Cooperation #FOS: Biological sciences #FOS: Mathematics #Mathematical and Theoretical Epidemiology and Ecology Models #Populations and Evolution (q-bio.PE) #math.DS #msc:37N25 #msc:60J27 #msc:92D40 #q-bio.PE
paper · pdf · doi:10.48550/arxiv.1709.05987
openalex publication_date 2017/09/18 · arxiv created 2018/05/06 · arxiv updated 2018/05/08 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
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.