Stability and Hopf bifurcation in a prey-predator system with disease in the prey and two delays
type: Item
instance of: scholarly article
title: Stability and Hopf bifurcation in a prey-predator system with disease in the prey and two delays
zbMATH Open document ID: 1474.34482
DOI: 10.1155/2014/624546
author: Juan Liu
published in: Abstract and Applied Analysis
publication date: 2019-02-14T00:00:00Z
review text: Summary: This paper is concerned with a prey-predator system with disease in the prey and two delays. Local stability of the positive equilibrium of the system and existence of local Hopf bifurcation are investigated by choosing different combinations of the two delays as bifurcation parameters. For further investigation, the direction and the stability of the Hopf bifurcation are determined by using the normal form method and center manifold theorem. Finally, some numerical simulations are given to support the theoretical analysis.
Mathematics Subject Classification ID: 34K18
Mathematics Subject Classification ID: 92D25
Mathematics Subject Classification ID: 34K20
Mathematics Subject Classification ID: 34K60
Mathematics Subject Classification ID: 37N25
zbMATH DE Number: 7022757
Wikidata QID: Q59040118
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2014/624546
OpenAlex ID: W2059744230
cites work: Analysis of a three species eco-epidemiological model
cites work: Q5296941
cites work: Hopf bifurcation and stability of periodic solutions in a delayed eco-epidemiological system
cites work: Dynamics of a ratio-dependent eco-epidemiological system with prey harvesting
cites work: Stability and Hopf bifurcation for a delayed predator-prey model with disease in the prey
cites work: Modeling and analysis of a prey-predator system with disease in the prey
cites work: Dynamical analysis of a delayed ratio-dependent Holling-Tanner predator-prey model
cites work: Hopf bifurcation analysis on general Gause-type predator-prey models with delay
cites work: Global stability and bifurcation of time delayed prey-predator system incorporating prey refuge
cites work: Chaos and Hopf bifurcation analysis for a two species predator-prey system with prey refuge and diffusion
cites work: Complex dynamics in a prey predator system with multiple delays
cites work: Stability and Hopf bifurcation in a modified Holling-Tanner predator-prey system with multiple delays
cites work: Hopf bifurcation in a three-species system with delays
cites work: Stability and Hopf bifurcation analysis for a Gause-type predator-prey system with multiple delays
cites work: Dynamic behaviour of a delayed predator-prey model with harvesting
cites work: Stability and Hopf bifurcation analysis on a simplified BAM neural network with delays
cites work: Q3930015
description: scientific article; zbMATH DE number 7022757