Delay differential equations with Hill's type growth rate and linear harvesting

被引：17
作者：
Berezansky, L
Braverman, E
Idels, L
机构：
[1] Univ Calgary, Dept Math & Stat, Calgary, AB, Canada
[2] Ben Gurion Univ Negev, Dept Math, IL-84105 Beer Sheva, Israel
[3] Malaspina Univ Coll, Dept Math, Nanaimo, BC V9R 5S5, Canada
来源：
COMPUTERS & MATHEMATICS WITH APPLICATIONS | 2005年 / 49卷 / 04期
基金：
加拿大自然科学与工程研究理事会;
关键词：
delay equationse; extinction and persistence; Mackey-Glass equation; bounded solutions;
D O I：
10.1016/j.camwa.2004.07.015
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
For the equation, N (t) = r (t) N (t)/1 + [N (t)](gamma) - b(t) N (t) - a(t) N(g(t)), we obtain the following results: boundedness of all positive solutions, extinction, and persistence conditions. The proofs employ recent results in the theory of linear delay equations with positive and negative coefficients. (c) 2005 Elsevier Ltd. All rights reserved.
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页码：549 / 563
页数：15
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