Optimal harvesting for a single-species population governed by Gompertz law:Influence of environmental fluctuation and limited harvesting capacity
作者机构：Sri Sathya Sai University for Human Excellence Navanihala VillageOkali PostKamalapur Taluk Gulbarga DistrictKarnataka 585313India Department of MathematicsAndhra University Visakhapatnam 530003India Department of MathematicsAr ba Minch University Arba MinchEthiopia
出 版 物：《International Journal of Biomathematics》 (生物数学学报（英文版）)
年 卷 期：2019年第12卷第2期
页 面：115-142页
核心收录：
学科分类：0701[理学-数学] 070101[理学-基础数学]
主 题：Optimal harvesting Gompertz equation seasonality binding constraint blocked intervals
摘 要：This work presents an optimal harvesting problem associated with a single-species population governed by Gompertz law in a seasonally fluctuating *** influence of environmental fluctuation is accommodated by choosing the coefficients in the differential equation to be periodic functions with the same period and restriction on the harvesting effort is accommodated by considering binding constraints on the control ***,a linear optimal control problem has been considered where the state dynamics is governed by Gompertz equation and the control variable is subject to the binding *** the help of maximum principle and the concept of blocked intervals,an optimal periodic solution has been obtained which is followed by the construe tion of optimal solution using the theory of most rapid *** results of the study are demonstrated through numerical simulations.
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