Double control problems of age-distributed population dynamics

This paper is concerned with some optimal control problems of an age-structured population model controlled by fecundity and culling rates. The first-order necessary optimality conditions of the following four problems are deduced by means of a Dubovitskii–Milyutin functional analysis approach: a pr...

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Published inNonlinear analysis: real world applications Vol. 10; no. 5; pp. 3112 - 3121
Main Authors He, Ze-Rong, Hong, Shi-Huang, Zhang, Chun-Guo
Format Journal Article
LanguageEnglish
Published Elsevier Ltd 01.10.2009
Subjects
Age-structure
Fertility
Harvest
Maximum principle
Optimal control
Population model
Maximum principle
Age-structure
Population model
Fertility
Harvest
Optimal control
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Summary:This paper is concerned with some optimal control problems of an age-structured population model controlled by fecundity and culling rates. The first-order necessary optimality conditions of the following four problems are deduced by means of a Dubovitskii–Milyutin functional analysis approach: a problem with fixed horizon and terminal constraint set, a free horizon counterpart, a differential game and a mini–max problem with a non-differentiable objective functional.
ISSN:1468-1218
1878-5719
DOI:10.1016/j.nonrwa.2008.10.001