Extinction Probabilities for a Distylous Plant Population Modeled by an Inhomogeneous Random Walk on the Positive Quadrant

@article{LafitteGodillon2013ExtinctionPF,
  title={Extinction Probabilities for a Distylous Plant Population Modeled by an Inhomogeneous Random Walk on the Positive Quadrant},
  author={Pauline Lafitte-Godillon and Kilian Raschel and Viet-Chi Tran},
  journal={SIAM Journal of Applied Mathematics},
  year={2013},
  volume={73},
  pages={700-722}
}
In this paper, we study a flower population in which self-reproduction is not permitted. Individuals are diploid, that is, each cell contains two sets of chromosomes, and distylous, that is, two alleles, A and a, can be found at the considered locus S. Pollen and ovules of flowers with the same genotype at locus S cannot mate. This prevents the pollen of a given flower from fecundating its own stigmata. Only genotypes AA and Aa can be maintained in the population, so that the latter can be… CONTINUE READING

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