Abstract

The paper considers a microevolution model of two-stage population with limitation under the influence of natural selection that regulates juvenile survival rate. An analytical and numerical study of the model is performed; the parametric areas of various dynamic modes are determined. It is shown that an emergence of new alleles (for example, as a result of mutations) providing a greater reproductive potential of individuals leads to a natural selection of these alleles and evolutionary growth of the average value of the reproductive potential in the population. However, in the case of density dependent regulation of birth rate, the increase in the average value of reproductive potential leads to destabilization of the dynamics for the age group sizes. Scenarios of changes in the dynamics are various and depend on the parameter values of the model, but the main result is always the same: the dynamics become more and more complex and, as a rule, chaotic.

中文翻译：

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结构化有限种群演化过程中复杂动力学的出现

摘要

考虑自然选择影响少年生存率的两阶段种群微观进化模型。对模型进行了分析和数值研究；确定各种动态模式的参数区域。结果表明，新的等位基因的出现（例如，由于突变的结果）提供了更高的个体繁殖潜能，导致这些等位基因的自然选择以及种群中繁殖潜能平均值的进化增长。但是，在密度依赖于出生率的调节的情况下，生殖潜力平均值的增加导致年龄组大小动力学的不稳定。动态变化的场景多种多样，并取决于模型的参数值，