Cressman R
Department of Mathematics, Wilfrid Laurier University, Waterloo, Ontario, Canada.
J Theor Biol. 1990 Aug 9;145(3):319-30. doi: 10.1016/s0022-5193(05)80112-2.
Stability conditions for equilibria of the evolution of population strategies in a single species are developed by comparing frequency and density dependent fitnesses of pairs of strategies. Stability of such equilibria is shown for general haploid frequency and density dynamics. It is also shown that this stability is stronger than that of multispecies population dynamical systems. A biological interpretation of the conditions is provided in terms of the fitness of invading subpopulations.
通过比较成对策略的频率依赖适应度和密度依赖适应度，得出了单物种种群策略进化中平衡态的稳定性条件。针对一般的单倍体频率和密度动态，证明了此类平衡态的稳定性。还表明，这种稳定性比多物种种群动态系统的稳定性更强。根据入侵亚种群的适应度，对这些条件进行了生物学解释。
