Existence and Stability of Traveling Wave Solutions for a Population Genetic Model via Singular Perturbations

@article{Dockery1994ExistenceAS,
  title={Existence and Stability of Traveling Wave Solutions for a Population Genetic Model via Singular Perturbations},
  author={Jack D. Dockery and Roger Lui},
  journal={SIAM Journal of Applied Mathematics},
  year={1994},
  volume={54},
  pages={231-248}
}
Using singular perturbation methods, the existence and stability of traveling wave solutions for a density-dependent selection migration model in population genetics is proved. Single locus and two alleles are assumed, and it is also assumed that the fitnesses of the heterozygotes in the population are close to but below those of the homozygotes. Unlike… CONTINUE READING