Double control problems of age-distributed population dynamics

作者：He Ze Rong^*; Hong Shi Huang; Zhang Chun Guo

来源：Nonlinear Analysis: Real World Applications , 2009, 10(5): 3112-3121.

DOI：10.1016/j.nonrwa.2008.10.001

• Population model
• Optimal control
• Fertility
• Harvest
• Age-structure
• Maximum principle

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.

• 出版日期2009-10
• 单位杭州电子科技大学