Asymptotically periodic solution and optimal harvesting policy for Gompertz system

被引：17

作者：

Zeng, Zhijun ^{[1
]}

机构：

[1] NE Normal Univ, Sch Math & Stat, Changchun 130024, Jilin, Peoples R China

来源：

NONLINEAR ANALYSIS-REAL WORLD APPLICATIONS | 2011年 / 12卷 / 03期

关键词：

Gompertz equation; Asymptotically periodic function; Stably bounded function; Ultimately optimal harvesting policy; POPULATION; MODELS;

D O I：

10.1016/j.nonrwa.2010.10.001

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, the single species modelled by (asymptotically) periodic Gompertz equation is investigated. It is shown that the (asymptotically) periodic system has a unique (asymptotically) periodic solution which is globally asymptotically stable for the positive solution. When the nonautonomous Gompertz equation is subject to harvesting, we study the optimal harvesting policy for the periodic system and obtain the corresponding optimal population level and the maximum sustainable yield. Further, when the functions in the exploited Gompertz system are stably bounded functions, we study the ultimately optimal harvesting policy. By choosing the average limiting maximum sustainable yield as management objective, the corresponding optimal population level is determined. (C) 2010 Elsevier Ltd. All rights reserved.

引用

页码：1401 / 1409

页数：9

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