Boundedness and global stability for a predator-prey model with modified Leslie-Gower and Holling-type II schemes
type: Item
instance of: scholarly article
title: Boundedness and global stability for a predator-prey model with modified Leslie-Gower and Holling-type II schemes
zbMATH Open document ID: 1063.34044
DOI: 10.1016/S0893-9659(03)90096-6
author: M. Daher Okiye
author: M. A. Aziz-Alaoui
published in: Applied Mathematics Letters
publication date: 2004-06-11T00:00:00Z
review text: The authors present a two-dimensional differential system modeling a predator-prey food chain, and based on a modified version of the Leslie-Gower scheme and on the Holling-type II scheme. The main result is given in terms of boundedness of solutions, existence of an attracting set and global stability of the coexisting interior equilibrium.
Mathematics Subject Classification ID: 34D23
Mathematics Subject Classification ID: 92D25
Mathematics Subject Classification ID: 34C11
zbMATH DE Number: 2073815
zbMATH Keywords: positive periodic solution
zbMATH Keywords: food chain system
zbMATH Keywords: diffusion
zbMATH Keywords: coincidence degree theory
Wikidata QID: Q115564144
reviewed by: Lansun Chen
MaRDI profile type: Publication
cites work: Analysis of the dynamics of a realistic ecological model
cites work: Should all the species of a food chain be counted to investigate the global dynamics?
cites work: Study of a Leslie-Gower-type tritrophic population model
cites work: A Lyapunov function for Leslie-Gower predator-prey models
cites work: SOME FURTHER NOTES ON THE USE OF MATRICES IN POPULATION MATHEMATICS
cites work: The properties of a stochastic model for the predator-prey type of interaction between two species
cites work: Q5675177
full work available at URL: s0893-9659(03)90096-6
OpenAlex ID: W2030453979
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description: scientific article; zbMATH DE number 2073815