This article is cited in 2 papers

Numerical optimization of certain dynamical stochastic systems

A. I. Noarov

Institute of Numerical Mathematics, Russian Academy of Sciences, ul. Gubkina 8, Moscow, 119991, Russia

Abstract: Two-dimensional dynamical (dynamical stochastic) predator-prey systems are optimized numerically by calculating the variation of the functional of the steady-state solution to the Fokker–Plank equation. Numerical algorithms are used to construct systems with a prescribed response to a certain external action.

Key words: Fokker–Planck equation, stochastic differential equations, chaotic dynamics, optimization, mathematical biology.

UDC: 519.676

Received: 23.06.2006

 English version: Computational Mathematics and Mathematical Physics, 2007, 47:7, 1129–1136

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