Abstract The method of constructing a stability indicatrix of a nonnegative matrix having the form of a polynomial of its coefficients is presented. The algorithm of construction and conditions of its applicability are specified. The applicability of the algorithm is illustrated on examples of constructing the stability indicatrix for a series of functions widely used in simulation of the dynamics of discrete biological communities, for solving evolutionary optimality problems arising in biological problems of evolutionary selection, for identification of the conditions of the pandemic in a distributed host population.

中文翻译：

---

非负矩阵的稳定性指标及其在生物学和流行病学问题中的一些应用

摘要 提出了构造系数多项式形式的非负矩阵稳定性指标的方法。规定了构造算法及其适用条件。举例说明了该算法的适用性：为一系列广泛用于离散生物群落动力学模拟的函数构建稳定性指标，用于解决生物进化选择问题中出现的进化最优性问题，用于识别生物群落的条件。分布的宿主人群中的流行病。