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Journal of Automation and Information Sciences

Published 12 issues per year

ISSN Print: 1064-2315

ISSN Online: 2163-9337

SJR: 0.173 SNIP: 0.588 CiteScore™:: 2

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Aggregated Optimization Model of Ecological and Economic Interaction

Volume 33, Issue 5-8, 2001, 10 pages
DOI: 10.1615/JAutomatInfScien.v33.i5-8.200
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ABSTRACT

Two models of ecology and economics interaction with different types of renewable specific resources, an invariable and an exponentially decreasing ones, are considered. Stability of the stationary point is studied for the first model. Also, the optimal control problem is constructed and investigated using the Pontryagin maximum principle. The corresponding problem for the second model is studied using the sufficient optimality conditions in the Krotov sense. It is demonstrated that the main line tends to a constant vector.

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