Scientific publications

А.В. Ласунский.

О сохранении устойчивого положения равновесия при дискретизации системы

// Труды КарНЦ РАН. No 4. Сер. Математическое моделирование и информационные технологии. 2014. C. 87-92

А.V. Lasunsky. Maintaining steady-state equilibrium after discretization of the system // Transactions of Karelian Research Centre of Russian Academy of Science. No 4. Mathematical Modeling and Information Technologies. 2014. Pp. 87-92

Keywords: preservation of stability after discretization, Lyapunov's first method, nonautonomous Lotka-Volterra model

With the help of Lyapunov's first method we obtained sufficient conditions for maintaining the equilibrium state and its asymptotic stability after discretization of a nonautonomous system of second order differential equations. The result is illustrated by a modified Lotka-Volterra model in which part of the prey population is inaccessible for the predator.

trudy_2014_4_087.pdf (348 Kb, total downloads: 168)

Last modified: July 26, 2014