Exponential convergence of a non-autonomous Nicholson's blowflies model with an oscillating death rate

Exponential convergence of a non-autonomous Nicholson's blowflies model with an oscillating death rate

This paper is concerned with a non-autonomous delayed Nicholson's blowflies model with an oscillating death rate. Under proper conditions, we employ a novel argument to establish a criterion on the global exponential convergence of the zero equilibrium point for this model. The obtained result...

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Main Author: Zhiwen Long
Format: Article
Language:English
Published: University of Szeged 2016-06-01
Series:Electronic Journal of Qualitative Theory of Differential Equations
Subjects:
nicholson's blowflies model
global exponential convergence
delay
oscillating death rate
Online Access:http://www.math.u-szeged.hu/ejqtde/periodica.html?periodica=1&paramtipus_ertek=publication&param_ertek=4826
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spelling doaj-542f1822b446491d8eb1a15bda612b042021-07-14T07:21:28ZengUniversity of SzegedElectronic Journal of Qualitative Theory of Differential Equations1417-38751417-38752016-06-012016411710.14232/ejqtde.2016.1.414826Exponential convergence of a non-autonomous Nicholson's blowflies model with an oscillating death rateZhiwen Long0Hunan University, Changsha, Hunan, P.R. China & Hunan University of Humanities, Science and Technology, Loudi, Hunan, P.R. ChinaThis paper is concerned with a non-autonomous delayed Nicholson's blowflies model with an oscillating death rate. Under proper conditions, we employ a novel argument to establish a criterion on the global exponential convergence of the zero equilibrium point for this model. The obtained result improves and supplements existing ones. We also use numerical simulations to demonstrate our theoretical results.http://www.math.u-szeged.hu/ejqtde/periodica.html?periodica=1&paramtipus_ertek=publication&param_ertek=4826nicholson's blowflies modelglobal exponential convergencedelayoscillating death rate
collection DOAJ
language English
format Article
sources DOAJ
author Zhiwen Long
spellingShingle Zhiwen Long
Exponential convergence of a non-autonomous Nicholson's blowflies model with an oscillating death rate
Electronic Journal of Qualitative Theory of Differential Equations
nicholson's blowflies model
global exponential convergence
delay
oscillating death rate
author_facet Zhiwen Long
author_sort Zhiwen Long
title Exponential convergence of a non-autonomous Nicholson's blowflies model with an oscillating death rate
title_short Exponential convergence of a non-autonomous Nicholson's blowflies model with an oscillating death rate
title_full Exponential convergence of a non-autonomous Nicholson's blowflies model with an oscillating death rate
title_fullStr Exponential convergence of a non-autonomous Nicholson's blowflies model with an oscillating death rate
title_full_unstemmed Exponential convergence of a non-autonomous Nicholson's blowflies model with an oscillating death rate
title_sort exponential convergence of a non-autonomous nicholson's blowflies model with an oscillating death rate
publisher University of Szeged
series Electronic Journal of Qualitative Theory of Differential Equations
issn 1417-3875
1417-3875
publishDate 2016-06-01
description This paper is concerned with a non-autonomous delayed Nicholson's blowflies model with an oscillating death rate. Under proper conditions, we employ a novel argument to establish a criterion on the global exponential convergence of the zero equilibrium point for this model. The obtained result improves and supplements existing ones. We also use numerical simulations to demonstrate our theoretical results.
topic nicholson's blowflies model
global exponential convergence
delay
oscillating death rate
url http://www.math.u-szeged.hu/ejqtde/periodica.html?periodica=1&paramtipus_ertek=publication&param_ertek=4826
work_keys_str_mv AT zhiwenlong exponentialconvergenceofanonautonomousnicholsonsblowfliesmodelwithanoscillatingdeathrate
_version_ 1721303593910272000

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