Spatiotemporal patterns of a homogeneous diffusive predator-prey system with Holling type III functional response
type: Item
instance of: scholarly article
title: Spatiotemporal patterns of a homogeneous diffusive predator-prey system with Holling type III functional response
zbMATH Open document ID: 1382.35036
published in: Journal of Dynamics and Differential Equations
publication date: 2018-01-26T00:00:00Z
Mathematics Subject Classification ID: 35B32
Mathematics Subject Classification ID: 35K51
Mathematics Subject Classification ID: 92D25
zbMATH DE Number: 6829885
zbMATH Keywords: global stability
zbMATH Keywords: Hopf bifurcation
zbMATH Keywords: steady state solution
zbMATH Keywords: Leray-Schauder degree
zbMATH Keywords: Neumann boundary conditions
author: Jinfeng Wang
MaRDI profile type: Publication
full work available at URL: s10884-016-9517-7
OpenAlex ID: W2255424061
Wikidata QID: Q115603964
cites work: An application of the invariance principle to reaction diffusion equations
cites work: Bifurcation analysis of nonlinear reaction diffusion equations I. Evolution equations and the steady state solutions
cites work: Global bifurcation in the Brusselator system
cites work: Spatial Ecology via Reaction‐Diffusion Equations
cites work: Permanence in ecological systems with spatial heterogeneity
cites work: The qualitative analysis of two species predator-prey model with Holling's type III functional response
cites work: Large Time Behavior of Solutions of Systems of Nonlinear Reaction-Diffusion Equations
cites work: Bifurcation analysis of a delayed predator-prey model with Holling type III functional response and predator harvesting
cites work: Convergence to Homogeneous Equilibrium State for Generalized Volterra–Lotka Systems with Diffusion
cites work: Some uniqueness and exact multiplicity results for a predator-prey model
cites work: \(S\)-shaped global bifurcation curve and Hopf bifurcation of positive solutions to a predator-prey model
cites work: Q5474667
cites work: A diffusive predator-prey model with a protection zone
cites work: Allee effect and bistability in a spatially heterogeneous predator-prey model
cites work: Effect of a protection zone in the diffusive Leslie predator-prey model
cites work: Multiple limit cycles in a Gause type predator-prey model with Holling type III functional response and Allee effect on prey
cites work: Q3895297
cites work: Non-constant steady-state solutions for Brusselator type systems
cites work: Nonlinear PDEs
cites work: Q4039920
cites work: Q3930015
cites work: Geometric theory of semilinear parabolic equations
cites work: Global Existence and Boundedness in Reaction-Diffusion Systems
cites work: Global Stability for a Class of Predator-Prey Systems
cites work: Rich dynamics of a ratio-dependent one-prey two-predators model
cites work: A model predator-prey system with functional response
cites work: Mesa-type patterns in the one-dimensional Brusselator and their stability
cites work: Uniqueness of limit cycles in Gause-type models of predator-prey systems
cites work: Stability of steady-state solutions to a prey--predator system with cross-diffusion.
cites work: Multiple coexistence states for a prey-predator system with cross-diffusion.
cites work: Allee dynamics and the spread of invading organisms
cites work: Traveling waves in a diffusive predator-prey model with Holling type-III functional response
cites work: Spatiotemporal complexity of patchy invasion in a predator-prey system with the Allee effect.
cites work: Turing patterns in the Lengyel-Epstein system for the CIMA reaction
cites work: Effect of cross-diffusion on the stationary problem of a prey-predator model with a protection zone
cites work: How predation can slow, stop or reverse a prey invasion
cites work: Strongly coupled elliptic systems and applications to Lotka-Volterra models with cross-diffusion
cites work: Pattern formation in the Brusselator system
cites work: Some nonexistence results for nonconstant stationary solutions to the Gray-Scott model in a bounded domain
cites work: On stationary patterns of a reaction–diffusion model with autocatalysis and saturation law
cites work: Positive steady-states for two interacting species models with linear self-cross diffusions
cites work: On global bifurcation for quasilinear elliptic systems on bounded domains
cites work: Dynamic complexities of a predator-prey model with generalized Holling type III functional response and impulsive effects
cites work: On a predator-prey system of Holling type
cites work: The chemical basis of morphogenesis
cites work: Dynamics and pattern formation in a diffusive predator-prey system with strong Allee effect in prey
cites work: Global bifurcation analysis and pattern formation in homogeneous diffusive predator-prey systems
cites work: Hopf bifurcation analysis in a one-dimensional Schnakenberg reaction-diffusion model
cites work: Diffusion-driven instability and bifurcation in the Lengyel-Epstein system
cites work: Bifurcation and spatiotemporal patterns in a homogeneous diffusive predator-prey system
cites work: Global asymptotical behavior of the Lengyel-Epstein reaction-diffusion system
cites work: Global dynamics of the Brusselator equations
cites work: Positive steady state solutions of a diffusive Leslie-Gower predator-prey model with Holling type II functional response and cross-diffusion
DOI: 10.1007/S10884-016-9517-7
description: scientific article; zbMATH DE number 6829885