Survival to extinction in a slowly varying harvested logistic population model

被引：3

作者：

Idlango, M. A. ^{[1
]}

Gear, J. A. ^{[1
]}

Shepherd, J. J. ^{[1
]}

机构：

[1] RMIT Univ, Sch Math & Geospatial Sci, Melbourne, Vic, Australia

来源：

APPLIED MATHEMATICS LETTERS | 2013年 / 26卷 / 11期

关键词：

Harvesting; Logistic; Slowly varying; Multitiming;

D O I：

10.1016/j.aml.2013.05.003

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

This work considers a harvested logistic population for which birth rate, carrying capacity and harvesting rate all vary slowly with time. Asymptotic results from earlier work, obtained using a multiscaling technique, are combined to construct approximate expressions for the evolving population for the situation where the population initially survives to a slowly varying limiting state, but then, due to increasing harvesting, is reduced to extinction in finite time. These results are shown to give very good agreement with those obtained from numerical computation. (c) 2013 Elsevier Ltd. All rights reserved.

引用

页码：1035 / 1040

页数：6

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