Maximum principle for a nonlinear size-structured model of fish and fry management

作者：Liu, Rong; Liu, Guirong^*

来源：Nonlinear Analysis: Modelling and Control , 2018, 23(4): 533-552.

DOI：10.15388/NA.2018.4.5

• size-structure
• maximum principle
• well-posedness
• uniqueness
• Ekeland's variational principle

This paper investigates the maximum principle for a nonlinear size-structured model that describes the optimal management of the fish resources taking into account harvesting the fish and putting the fry. We establish the well-posedness of the state system by Banach fixed-point theorem. Necessary conditions for optimality are established via the normal cone technique and adjoint system. The existence of a unique optimal policy is proved via Ekeland's variational principle and fixed-point reasoning. Finally, some examples and numerical results demonstrate the effectiveness of the theoretical results in our paper.

• 出版日期2018
• 单位山西大学