Moments method in problems of optimal control of nonlinear models of logistic type

S.V. Chernyshenko

doi:10.15421/240819

Moments method in problems of optimal control of nonlinear models of logistic type

S.V. Chernyshenko (Oles Honchar Dnipropetrovsk National University), https://orcid.org/0000-0002-2852-6878

Abstract

We investigate the problem of optimal control of two nonlinear models of mathematical ecology: logistic model and model of development in adversary environment. We consider four statements of optimal control problem, two criteria of quality (quadratic and linear ones). The solution is obtained either analytically, or numerically, by iterative approximations method.

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