The optimal harvesting policy for non-autonomous populations with discount

Hong Qiu; Jingliang Lv; Ke Wang

doi:10.1016/j.aml.2012.08.018

The optimal harvesting policy for non-autonomous populations with discount

Hong Qiu^*
, Jingliang Lv
, Ke Wang

^*Corresponding author for this work

Harbin Institute of Technology Weihai

Research output: Contribution to journal › Article › peer-review

8 Scopus citations

Abstract

Infinite horizon and non-autonomous optimal harvesting problems with discounted instantaneous utility are considered in this work. We first show that the optimal harvesting policy exists for a class of single populations by using the maximum principle. Second, the explicit expressions for the optimal harvesting policy and the maximum yields of logistic, Gompertz and Gilpin-Ayahs systems are obtained.

Original language	English
Pages (from-to)	244-248
Number of pages	5
Journal	Applied Mathematics Letters
Volume	26
Issue number	2
DOIs	https://doi.org/10.1016/j.aml.2012.08.018
State	Published - Feb 2013
Externally published	Yes

Keywords

Gilpin-Ayahs system
Gompertz system
Logistic system
Optimal harvesting policy

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10.1016/j.aml.2012.08.018

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title = "The optimal harvesting policy for non-autonomous populations with discount",

abstract = "Infinite horizon and non-autonomous optimal harvesting problems with discounted instantaneous utility are considered in this work. We first show that the optimal harvesting policy exists for a class of single populations by using the maximum principle. Second, the explicit expressions for the optimal harvesting policy and the maximum yields of logistic, Gompertz and Gilpin-Ayahs systems are obtained.",

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AU - Wang, Ke

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AB - Infinite horizon and non-autonomous optimal harvesting problems with discounted instantaneous utility are considered in this work. We first show that the optimal harvesting policy exists for a class of single populations by using the maximum principle. Second, the explicit expressions for the optimal harvesting policy and the maximum yields of logistic, Gompertz and Gilpin-Ayahs systems are obtained.

KW - Gilpin-Ayahs system

KW - Gompertz system

KW - Logistic system

KW - Optimal harvesting policy

UR - https://www.scopus.com/pages/publications/84867889937

U2 - 10.1016/j.aml.2012.08.018

DO - 10.1016/j.aml.2012.08.018

M3 - 文章

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VL - 26

SP - 244

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JO - Applied Mathematics Letters

JF - Applied Mathematics Letters

IS - 2

ER -

The optimal harvesting policy for non-autonomous populations with discount

Abstract

Keywords

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