Double control problems of age-distributed population dynamics

• Published in: Nonlinear 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
• Language: English
• 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

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...