Abstract

For two classes of two-dimensional systems and for a fourth-order system describing the development of pancreatic cancer, we use the method of localization of compact invariant sets to establish estimates for their compact invariant sets and indicate conditions for the existence of attractors. A condition for the degeneration of dynamics is found for the four-dimensional system. Examples and results of numerical modeling are given.

中文翻译：

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具有非负变量的系统的轨迹行为

摘要

对于描述胰腺癌发展的两类二维系统和四阶系统，我们使用紧凑不变集的定位方法来建立其紧凑不变集的估计值，并指出吸引子存在的条件。对于四维系统，发现了动力学退化的条件。给出了数值建模的例子和结果。