New results on global exponential stability of almost periodic solutions for a delayed Nicholson blowflies model

Bingwen Liu

Annales Polonici Mathematici (2015)

  • Volume: 113, Issue: 2, page 191-208
  • ISSN: 0066-2216

Abstract

top
This paper is concerned with a class of Nicholson's blowflies models with multiple time-varying delays, which is defined on the nonnegative function space. Under appropriate conditions, we establish some criteria to ensure that all solutions of this model converge globally exponentially to a positive almost periodic solution. Moreover, we give an example with numerical simulations to illustrate our main results.

How to cite

top

Bingwen Liu. "New results on global exponential stability of almost periodic solutions for a delayed Nicholson blowflies model." Annales Polonici Mathematici 113.2 (2015): 191-208. <http://eudml.org/doc/280400>.

@article{BingwenLiu2015,
abstract = {This paper is concerned with a class of Nicholson's blowflies models with multiple time-varying delays, which is defined on the nonnegative function space. Under appropriate conditions, we establish some criteria to ensure that all solutions of this model converge globally exponentially to a positive almost periodic solution. Moreover, we give an example with numerical simulations to illustrate our main results.},
author = {Bingwen Liu},
journal = {Annales Polonici Mathematici},
keywords = {Nicholson's blowflies model; time-varying delay; positive almost periodic solution; global exponential stability},
language = {eng},
number = {2},
pages = {191-208},
title = {New results on global exponential stability of almost periodic solutions for a delayed Nicholson blowflies model},
url = {http://eudml.org/doc/280400},
volume = {113},
year = {2015},
}

TY - JOUR
AU - Bingwen Liu
TI - New results on global exponential stability of almost periodic solutions for a delayed Nicholson blowflies model
JO - Annales Polonici Mathematici
PY - 2015
VL - 113
IS - 2
SP - 191
EP - 208
AB - This paper is concerned with a class of Nicholson's blowflies models with multiple time-varying delays, which is defined on the nonnegative function space. Under appropriate conditions, we establish some criteria to ensure that all solutions of this model converge globally exponentially to a positive almost periodic solution. Moreover, we give an example with numerical simulations to illustrate our main results.
LA - eng
KW - Nicholson's blowflies model; time-varying delay; positive almost periodic solution; global exponential stability
UR - http://eudml.org/doc/280400
ER -

NotesEmbed ?

top

You must be logged in to post comments.

To embed these notes on your page include the following JavaScript code on your page where you want the notes to appear.

Only the controls for the widget will be shown in your chosen language. Notes will be shown in their authored language.

Tells the widget how many notes to show per page. You can cycle through additional notes using the next and previous controls.

    
                

Note: Best practice suggests putting the JavaScript code just before the closing </body> tag.