Control problems of an age-dependentpredator-prey system

This paper is concerned with optimal harvesting problems for a system consisting oftwo populations with age-structure and interaction of predator-prey. Existence and uniquenessof non-negative solutions to the system and the continuous dependence of solutions on controlvariables are investigated. Exi...

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Veröffentlicht in:Applied mathematics. Gao xiao ying yong shu xue xue bao. Ser. B 2009 (3), p.253-262
1. Verfasser: HE Ze-rong WANG Hai-tao
Format: Artikel
Sprache:eng
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Zusammenfassung:This paper is concerned with optimal harvesting problems for a system consisting oftwo populations with age-structure and interaction of predator-prey. Existence and uniquenessof non-negative solutions to the system and the continuous dependence of solutions on controlvariables are investigated. Existence of optimal policy is discussed, optimality conditions arederived by means of normal cone and adjoint system techniques.
ISSN:1005-1031