Existence of four positive periodic solutions for a ratio-dependent predator-prey system with multiple exploited (or harvesting) terms
type: Item
instance of: scholarly article
title: Existence of four positive periodic solutions for a ratio-dependent predator-prey system with multiple exploited (or harvesting) terms
zbMATH Open document ID: 1198.34081
author: Zhengqiu Zhang
author: Zhenting Hou
published in: Nonlinear Analysis. Real World Applications
publication date: 2010-06-03T00:00:00Z
review text: The authors investigate a non-autonomous ratio-dependent predator-prey model with exploited terms. By using coincidence degree theory, they establish the existence of at least four positive periodic solutions for the above model. A related paper is \textit{S. Chakraborty, S. Pal} and \textit{N. Bairagi}, Nonlinear Anal., Real World Appl. 11, No.~3, 1862--1877 (2010; Zbl 1198.34077).
reviewed by: E. Ahmed
Mathematics Subject Classification ID: 34C60
Mathematics Subject Classification ID: 92D25
Mathematics Subject Classification ID: 34C25
Mathematics Subject Classification ID: 47N20
zbMATH DE Number: 5716726
zbMATH Keywords: predator-prey model
zbMATH Keywords: ratio-dependent
zbMATH Keywords: multiple exploited terms
zbMATH Keywords: four positive periodic solutions
zbMATH Keywords: coincidence degree theory
MaRDI profile type: Publication
full work available at URL: j.nonrwa.2009.03.001
OpenAlex ID: W2045010624
cites work: Dynamics of a non-autonomous ratio-dependent predator—prey system
cites work: Existence of at least two periodic solutions of a ratio-dependent predator-prey model with exploited term
cites work: The existence of a periodic solution for a generalized prey-predator system with delay
cites work: Periodic solution of a nonautonomous stage-structured single species model with diffusion
cites work: Periodic solutions of two-patches predator-prey dispersion models with continuous delays
cites work: Periodic solutions of a two-species ratio-dependent predator-prey system with time delay in a two-patch environment
cites work: Multiple periodic solutions of delayed predator--prey systems with type IV functional responses
cites work: Four positive periodic solutions for the first order differential system
cites work: Coincidence degree, and nonlinear differential equations
DOI: 10.1016/J.NONRWA.2009.03.001
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description: scientific article; zbMATH DE number 5716726