Double periodic solutions for a ratio-dependent predator-prey system with harvesting terms on time scales
type: Item
instance of: scholarly article
title: Double periodic solutions for a ratio-dependent predator-prey system with harvesting terms on time scales
zbMATH Open document ID: 1183.34143
DOI: 10.1155/2009/243974
author: Zhenjie Liu
published in: Discrete Dynamics in Nature and Society
publication date: 2009-11-23T00:00:00Z
full work available at URL: https://eudml.org/doc/225389
review text: Summary: We investigate a nonautonomous ratio-dependent predator-prey model with Beddington-DeAngelis functional response and multiple harvesting terms on time scales. By means of a continuation theorem based on coincidence degree theory, we obtain a sufficient condition for the existence of at least two periodic solutions of the system. Moreover, when the time scale \(\mathbb T\) is chosen as \(\mathbb R\) or \(\mathbb Z\), the existence of the periodic solutions of the corresponding continuous and discrete models follows.
Mathematics Subject Classification ID: 34N05
Mathematics Subject Classification ID: 92D25
Mathematics Subject Classification ID: 34C25
Mathematics Subject Classification ID: 47N20
zbMATH DE Number: 5637347
zbMATH Keywords: nonautonomous ratio-dependent predator-prey model
zbMATH Keywords: Beddington-DeAngelis functional response
zbMATH Keywords: multiple harvesting
zbMATH Keywords: time scales
zbMATH Keywords: periodic solutions
Wikidata QID: Q58647431
MaRDI profile type: Publication
OpenAlex ID: W2091479866
cites work: Four positive periodic solutions for the first order differential system
cites work: Four positive periodic solutions of a discrete time delayed predator-prey system with nonmonotonic functional response and harvesting
cites work: Existence of multiple periodic solutions for delay Lotka-Volterra competition patch systems with harvesting
cites work: Multiple positive periodic solutions for a generalized predator-prey system with exploited terms
cites work: Existence of four positive periodic solutions for a ratio-dependent predator-prey system with multiple exploited (or harvesting) terms
cites work: Q2723195
cites work: Periodic solutions for a neutral nonlinear dynamical equation on a time scale
cites work: Coincidence degree, and nonlinear differential equations
description: scientific article; zbMATH DE number 5637347