Global asymptotic behaviour of positive solutions to a non-autonomous Nicholson's blowflies model with delays

被引：21

作者：

Le Van Hien ^{[1
]}

机构：

[1] Hanoi Natl Univ Educ, Dept Math, Hanoi, Vietnam

来源：

JOURNAL OF BIOLOGICAL DYNAMICS | 2014年 / 8卷 / 01期

关键词：

Nicholson's blowflies model; positive solutions; exponential convergence; ALMOST-PERIODIC SOLUTION; LINEAR HARVESTING TERMS; ATTRACTIVITY; EXISTENCE;

D O I：

10.1080/17513758.2014.917725

中图分类号：

Q14 [生态学（生物生态学）];

学科分类号：

071012 ; 0713 ;

摘要：

This paper addresses the global existence and global asymptotic behaviour of positive solutions to a non-autonomous Nicholson's blowflies model with delays. By using a novel approach, sufficient conditions are derived for the existence and global exponential convergence of positive solutions of the model without any restriction on uniform positiveness of the per capita dead rate. Numerical examples are provided to illustrate the effectiveness of the obtained results.

引用

页码：135 / 144

页数：10

共 22 条

[1]

[Anonymous], 1982, Modelling fluctuating populations

[2] Global dynamics of Nicholson-type delay systems with applications [J].