Hopf and steady state bifurcation analysis in a ratio-dependent predator-prey model
type: Item
instance of: scholarly article
title: Hopf and steady state bifurcation analysis in a ratio-dependent predator-prey model
zbMATH Open document ID: 1465.92107
author: Lai Zhang
author: Jia Liu
author: M. Banerjee
published in: Communications in Nonlinear Science and Numerical Simulation
publication date: 2020-10-07T00:00:00Z
Mathematics Subject Classification ID: 92D25
Mathematics Subject Classification ID: 34C23
Mathematics Subject Classification ID: 35B32
zbMATH DE Number: 7257316
zbMATH Keywords: prey-predator model
zbMATH Keywords: Turing instability
zbMATH Keywords: pattern formation
zbMATH Keywords: spatiotemporal bifurcation
zbMATH Keywords: non-constant steady state
MaRDI profile type: Publication
full work available at URL: j.cnsns.2016.07.027
OpenAlex ID: W2501936022
Wikidata QID: Q115578311
cites work: Turing instability for a ratio-dependent predator-prey model with diffusion
cites work: Self-replication of spatial patterns in a ratio-dependent predator-prey model
cites work: Instabilities in spatially extended predator-prey systems: spatio-temporal patterns in the neighborhood of Turing-Hopf bifurcations
cites work: Spatial Ecology via Reaction‐Diffusion Equations
cites work: Dynamics and spatial organization of plant communities in water-limited systems
cites work: Reaction-Diffusion Model as a Framework for Understanding Biological Pattern Formation
cites work: Qualitative analysis of a ratio-dependent Holling-Tanner model
cites work: Large amplitude stationary solutions to a chemotaxis system
cites work: Turing pattern formation in a predator-prey system with cross diffusion
cites work: Diffusion, self-diffusion and cross-diffusion
cites work: Q5433149
cites work: Stochastic persistence and stability analysis of a modified Holling-Tanner model
cites work: Q4429919
cites work: Spatiotemporal Complexity of Plankton and Fish Dynamics
cites work: Analysis of a predator-prey model with modified Leslie-Gower and Holling-type II schemes with time delay
cites work: Q3856484
cites work: Qualitative analysis of a ratio-dependent predator–prey system with diffusion
cites work: Spatiotemporal patterns in a reaction-diffusion model with the Degn-Harrison reaction scheme
cites work: A minimal model of pattern formation in a prey-predator system
cites work: Fractals and Multifractals in Ecology and Aquatic Science
cites work: Semilinear Neumann boundary value problems on a rectangle
cites work: Positive steady states of a diffusive predator-prey system with modified Holling-Tanner functional response
cites work: Spatiotemporal Dynamics of a Diffusive Leslie–Gower Predator–Prey Model with Ratio-Dependent Functional Response
cites work: Spatiotemporal dynamics in a diffusive ratio-dependent predator-prey model near a Hopf-Turing bifurcation point
cites work: Q4429918
cites work: The chemical basis of morphogenesis
cites work: Construction of the Leray-Schauder degree for elliptic operators in unbounded domains
cites work: Stationary patterns for a prey-predator model with prey-dependent and ratio-dependent functional responses and diffusion
cites work: Dynamics and pattern formation in a diffusive predator-prey system with strong Allee effect in prey
cites work: Bifurcation and spatiotemporal patterns in a homogeneous diffusive predator-prey system
cites work: Q5173606
DOI: 10.1016/J.CNSNS.2016.07.027
description: scientific article; zbMATH DE number 7257316