А.В. Ласунский.
Методы исследования устойчивости положений равновесия неавтономных систем и некоторые примеры их применения
// Труды КарНЦ РАН. No 5. Сер. Математическое моделирование и информационные технологии, вып. 2. 2011. C. 38-44
A.V. Lasunsky. Methods of investigating the stability of equilibrium positions in the nonautonomous systems, and some applications thereof // Transactions of Karelian Research Centre of Russian Academy of Science. No 5. Mathematical Modeling and Information Technologies. 2011. Pp. 38-44
Keywords: passive stages of live, stability of equilibrium position, Liapunov's first method.
We consider the effect of the linear scheme of introduction of passive variables on the stability of the equilibrium of some nonautonomous systems of differential equations. The detected signs of stability are illustrated by the example of a nonautonomous model of an isolated population and a modified predator-prey model.
