The optimal harvesting policy for non-autonomous populations with discount

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 optima...

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Bibliographic Details
Published inApplied mathematics letters Vol. 26; no. 2; pp. 244 - 248
Main Authors Qiu, Hong, Lv, Jingliang, Wang, Ke
Format Journal Article
LanguageEnglish
Published Elsevier Ltd 01.02.2013
Subjects
Gilpin–Ayahs system
Gompertz system
Harvesting
Logistic system
Logistics
Mathematical analysis
Maximum principle
Optimal harvesting policy
Optimization
Policies
Populations
Utilities
Logistic system
Gompertz system
Optimal harvesting policy
Gilpin–Ayahs system
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Summary: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.
Bibliography:ObjectType-Article-1
SourceType-Scholarly Journals-1
ObjectType-Feature-2
content type line 23
ISSN:0893-9659
1873-5452
DOI:10.1016/j.aml.2012.08.018