Optimal harvesting control for an age-dependent competing population with diffusion

Boundary value problems

Hong Zhu¹  Jun Fu²  Xiulan Wu² 

[1] Institute of Computer, Jilin Normal University, Siping, China;Institute of Mathematics, Jilin Normal University, Siping, China

关键词: competing;    diffusion;    optimal control;    Ekeland’s principle;    maximum principle;   

DOI  :  10.1186/s13661-014-0145-z

学科分类：数学（综合）

来源: SpringerOpen

【 摘 要 】

This paper is mainly concerned with optimal harvesting policy for competing species with age dependence and diffusion. The existence and uniqueness of solutions for the system are proved by using the Banach fixed point theorem. The existence and uniqueness of optimal control are discussed by Ekeland’s variational principle. The maximum principle is obtained. MSC: 35B10, 49K05, 65L12, 92B05.

【 授权许可】

CC BY