Diploid biological evolution models with general smooth fitness landscapes and recombination.
Using a Hamilton-Jacobi equation approach, we obtain analytic equations for steady-state population distributions and mean fitness functions for Crow-Kimura and Eigen-type diploid biological evolution models with general smooth hypergeometric fitness landscapes. Our numerical solutions of diploid biological evolution models confirm the analytic equations obtained. We also study the parallel diploid model for the simple case of recombination and calculate the variance of distribution, which is consistent with numerical results.
Saakian
David B
DB
Institute of Physics, Academia Sinica, Nankang, Taipei 11529, Taiwan.
Kirakosyan
Zara
Z
Hu
Chin-Kun
CK
D000465:Algorithms; D000483:Alleles; D000818:Animals; D001703:Biophysics / Q000379:methods*; D004171:Diploidy; D005828:Genetics, Population; D006801:Humans; D008957:Models, Genetic; D015233:Models, Statistical; D008962:Models, Theoretical; D008967:Molecular Biology; D009154:Mutation; D011995:Recombination, Genetic