Geodesic
The investigation of the model dynamics of the Mendelian one-locus poly-allelic population under the exponential density-dependent natural selection
Dalʹnevostočnyj matematičeskij žurnal, Tome 5 (2004) no. 2, pp. 250-262

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The generalization of the model of one-locus diploid population under the exponential density-dependent natural selection for poly-allelic population is studied in this paper. All monomorphic stationary points of polymorphic model and their stable conditions have been found. A number of statements determining dependence between the positional relationship of genotypes resort parameters and a population number in each of polymorphic stationary points have been proved. In addition, the dependence between the positional relationship of genotypes resort parameters and a stability of polymorphic stationary points has been shown analytically. 
@article{DVMG_2004_5_2_a9,
     author = {O. L. Zhdanova and E. Ya. Frisman},
     title = {The investigation of the model dynamics of the {Mendelian} one-locus poly-allelic population under the exponential density-dependent natural selection},
     journal = {Dalʹnevosto\v{c}nyj matemati\v{c}eskij \v{z}urnal},
     pages = {250--262},
     publisher = {mathdoc},
     volume = {5},
     number = {2},
     year = {2004},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/DVMG_2004_5_2_a9/}
}
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O. L. Zhdanova; E. Ya. Frisman. The investigation of the model dynamics of the Mendelian one-locus poly-allelic population under the exponential density-dependent natural selection. Dalʹnevostočnyj matematičeskij žurnal, Tome 5 (2004) no. 2, pp. 250-262. http://geodesic.mathdoc.fr/item/DVMG_2004_5_2_a9/