The optimal harvesting of an intraspecific competitive diffusion model with age structure
DU Runmei
WEI Chuanfeng
NA Yang
XU Wenda
Abstract：This paper investigates the optimal harvesting control problem for a competitive diffusion system with age structure involving two sub-populations.In this system,we consider factors such as population fertility rates,natural mortality rates,harvesting rates,as well as intraspecific competition and interspecific interactions.The control problem we address takes the harvesting rates as the control functions,aiming to maximize the harvesting profit.We prove the necessary conditions for the existence of optimal controls and derive the expression for the optimal controls.
Keywords：diffusion systemage structureoptimal controlcompetition model
Publication Date：2025-03-31
Online Publishing Date：2025-08-15(First online date of this platform, not the publication date of the document)
Pages：6( 32-37 )