Optimal harvesting policy for the Beverton-Holt quantum difference model

Mathematica Moravica

Streipert Sabrina¹  Bohner Martin¹ 

[1] Missouri University of Science and Technology, Department of Mathematics and Statistics, Rolla, MO, USA;

关键词: Beverton-Holt;    quantum calculus;    periodic solution;    stability;    optimal harvest yield;   

DOI  :  

来源: DOAJ

【 摘 要 】

In this paper, we introduce exploitation to the Beverton-Holt equation in the quantum calculus time setting. We first give a brief introduction to quantum calculus and to the Beverton-Holt q-difference equation before formulating the harvested Beverton-Holt q-difference equation. Under the assumption of a periodic carrying capacity and periodic inherent growth rate, we derive its unique periodic solution, which globally attracts all solutions. We further derive the optimal harvest effort for the Beverton-Holt q-difference equation under the catch-per-effort hypothesis. Examples are provided and discussed in the last section.

【 授权许可】

Unknown