Yi T, Songling Z
Biology Department, Lanzhou University, P.R. China.
J Theor Biol. 1992 Dec 21;159(4):387-95. doi: 10.1016/s0022-5193(05)80685-x.
This paper presents a resource-dependent viability selection differential equation model of continuously reproducing diploid population with two alleles at one locus for a single limiting resource. This model assumes that the genotypic fitness is only a function of the limiting resource. The conditions that the interior equilibrium point of the system exists are that the heterozygote fitness is positive and the homozygote fitness is negative, or the heterozygote fitness is negative and the homozygote fitness is positive at the point. The sufficient and necessary conditions of locally asymptotical stability of the interior equilibrium point are that the heterozygote fitness is positive at the point, or the locally asymptotically stable equilibrium corresponds to the point at which the level of the limiting resource is locally minimized on the zero mean fitness curve, f = 0.
本文提出了一个关于单种限制资源下一个位点具有两个等位基因的连续繁殖二倍体群体的资源依赖生存力选择微分方程模型。该模型假设基因型适合度仅是限制资源的函数。系统内部平衡点存在的条件是杂合子适合度为正且纯合子适合度为负，或者在该点杂合子适合度为负且纯合子适合度为正。内部平衡点局部渐近稳定的充分必要条件是该点杂合子适合度为正，或者局部渐近稳定平衡点对应于在零均值适合度曲线(f = 0)上限制资源水平局部最小的点。
