Periodic solutions for impulsive semi-ratio-dependent predator-prey systems
type: Item
instance of: scholarly article
title: Periodic solutions for impulsive semi-ratio-dependent predator-prey systems
zbMATH Open document ID: 1187.34091
author: Xiuxiang Liu
author: Lihong Huang
published in: Nonlinear Analysis. Real World Applications
publication date: 2009-06-09T00:00:00Z
review text: This paper deals with the existence of periodic solutions for a class of impulsive predator-prey models that include a general term of periodic Holling-type functional response and a constant delay. Formulating the model as an abstract equation to which the theorem of coincidence degree by Ganes and Mawhin can be applied, the authors establish sufficient technical conditions on the parameters of the model and the functional response that assure the existence of periodic solutions. These criteria extend and improve many previous works for the case of neither impulses and nor delays. In addition, the results established in the paper can be extended to discrete analogue models as well as to cases of periodic time-variable delays or state-dependent delays.
reviewed by: Eva Sánchez
Mathematics Subject Classification ID: 34K13
Mathematics Subject Classification ID: 92D25
Mathematics Subject Classification ID: 34K45
Mathematics Subject Classification ID: 34K60
zbMATH DE Number: 5563240
zbMATH Keywords: impulsive delayed predator-prey model
zbMATH Keywords: periodic solutions
MaRDI profile type: Publication
full work available at URL: j.nonrwa.2008.10.022
OpenAlex ID: W2067778624
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DOI: 10.1016/J.NONRWA.2008.10.022
description: scientific article; zbMATH DE number 5563240