An autonomous model of a phenomenological type was designed for a biological population of lemmings in complex studies of tundra communities. The population dynamics is described in the model by a difference equation, which relates the population sizes observed in 2 consecutive years and depends on three parameters of biological and ecological nature. A combination of parameter values included in the equation determines a class of one-dimensional unimodal mappings of a dynamical system. Bifurcation properties, asymptotics, and stability of trajectories were studied both analytically and numerically in the class. The problem of model identification is the main focus. The method of identification sets was proposed for calibrating the model. The method is based on the approximation and visualization of small-dimensional projections of a multidimensional graph of the error function specified in a space of three environmental and two population parameters. An example model identification was performed using data on a tundra lemming population of the Taimyr Peninsula. Two biological and ecological parameters were shown to allow a stable location distribution in this case.

在苔原群落的复杂研究中，为鸟类的种群设计了一种现象学类型的自治模型。该模型中的种群动态由一个差分方程式描述，该方程式与连续两年观察到的种群大小相关，并取决于生物学和生态学性质的三个参数。等式中包含的参数值的组合确定了动力学系统的一维单峰单峰映射。在课堂上，我们通过分析和数值研究了分叉特性，渐近性和轨迹的稳定性。模型识别问题是主要焦点。提出了识别集方法对模型进行标定。该方法基于在三个环境和两个总体参数的空间中指定的误差函数的多维图的小尺寸投影的逼近和可视化。使用关于泰米尔半岛苔原旅鼠种群的数据进行示例模型识别。在这种情况下，显示了两个生物学和生态参数，可以实现稳定的位置分布。