Permanence of a discrete periodic Volterra model with mutual interference and Beddington-DeAngelis functional response
type: Item
instance of: scholarly article
title: Permanence of a discrete periodic Volterra model with mutual interference and Beddington-DeAngelis functional response
zbMATH Open document ID: 1194.34178
DOI: 10.1155/2010/246783
author: Runxin Wu
published in: Discrete Dynamics in Nature and Society
publication date: 2010-06-29T00:00:00Z
full work available at URL: https://eudml.org/doc/229727
review text: Summary: This paper discuss a discrete periodic Volterra model with mutual interference and Beddington-DeAngelis functional response [cf. Appl. Math. Comput. 214, No. 2, 548--556 (2009; Zbl 1175.34058)]. By using the comparison theorem of difference equation, sufficient conditions are obtained for the permanence of the system. After that, we give an example to show the feasibility of our main result.
Mathematics Subject Classification ID: 34N05
Mathematics Subject Classification ID: 34C27
Mathematics Subject Classification ID: 34D05
Mathematics Subject Classification ID: 92D25
zbMATH DE Number: 5728622
Wikidata QID: Q58650766
MaRDI profile type: Publication
OpenAlex ID: W2048865070
cites work: Global attractivity of positive periodic solution for a Volterra model
cites work: Almost periodic solution for a Volterra model with mutual interference and Beddington-DeAngelis functional response
cites work: Permanence of a discrete periodic Volterra model with mutual interference
cites work: Discrete actions on nilpotent Lie groups and negatively curved spaces.
cites work: Permanence and global stability of nonautonomous Lotka-Volterra system with predator-prey and deviating arguments
cites work: Permanence for a delayed discrete ratio-dependent predator-prey system with Holling type functional response
cites work: A boundary value problem for a nonlinear ordinary differential equation involving a small parameter. - The Riemann problem for a generalized diffusion equation
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description: scientific article; zbMATH DE number 5728622