Periodic solutions, permanence and global attractivity of a delayed impulsive prey-predator system with mutual interference
type: Item
instance of: scholarly article
title: Periodic solutions, permanence and global attractivity of a delayed impulsive prey-predator system with mutual interference
zbMATH Open document ID: 1275.34092
author: Kai Wang
author: Yanling Zhu
published in: Nonlinear Analysis. Real World Applications
publication date: 2013-03-07T00:00:00Z
review text: The authors obtain existence and global attractivity results for a periodic solution of the following delay impulsive system \[ \begin{gathered}\begin{aligned} x'(t)&=x(t)[r_1(t)-b_1(t)x(t-\tau)]-c_1(t)x(t)y^m(t),\\ y'(t)&=y(t)[-r_2(t)-b_2(t)y(t-\sigma)]+c_2(t)x(t)y^m(t),\end{aligned}\\ \Delta x(t_k)=d_kx(t_k),\;\Delta y(t_k)=f_ky(t_k).\end{gathered} \]
Mathematics Subject Classification ID: 34K13
Mathematics Subject Classification ID: 34K45
Mathematics Subject Classification ID: 92D25
Mathematics Subject Classification ID: 34K25
zbMATH DE Number: 6142855
zbMATH Keywords: predator-prey system
zbMATH Keywords: periodic solutions
zbMATH Keywords: delay
zbMATH Keywords: impulses
zbMATH Keywords: permanence
zbMATH Keywords: global attractivity
reviewed by: Leonid Berezansky
MaRDI profile type: Publication
full work available at URL: j.nonrwa.2012.08.016
OpenAlex ID: W1971602346
DOI: 10.1016/J.NONRWA.2012.08.016
description: scientific article; zbMATH DE number 6142855