Stability and cross-diffusion-driven instability in a diffusive predator-prey system with hunting cooperation functional response
type: Item
instance of: scholarly article
title: Stability and cross-diffusion-driven instability in a diffusive predator-prey system with hunting cooperation functional response
zbMATH Open document ID: 1437.35679
author: Yanyan Li
published in: Nonlinear Analysis. Real World Applications
publication date: 2020-04-15T00:00:00Z
Mathematics Subject Classification ID: 35Q92
Mathematics Subject Classification ID: 92D25
Mathematics Subject Classification ID: 92C15
Mathematics Subject Classification ID: 35B36
Mathematics Subject Classification ID: 35B35
Mathematics Subject Classification ID: 35B32
Mathematics Subject Classification ID: 35A01
zbMATH DE Number: 7189408
zbMATH Keywords: predator-prey model
zbMATH Keywords: hunting cooperation
zbMATH Keywords: cross-diffusion
zbMATH Keywords: Turing bifurcation
zbMATH Keywords: pattern
MaRDI profile type: Publication
full work available at URL: j.nonrwa.2020.103106
OpenAlex ID: W3004107098
cites work: On a non-selective harvesting prey-predator model with Hassell-Varley type functional response
cites work: Stationary patterns of a diffusive predator-prey model with Crowley-Martin functional response
cites work: Interaction between prey and mutually interfering predator in prey reserve habitat: pattern formation and the Turing-Hopf bifurcation
cites work: DYNAMIC ANALYSIS OF A NON-AUTONOMOUS RATIO-DEPENDENT PREDATOR-PREY MODEL WITH ADDITIONAL FOOD
cites work: A non-autonomous Leslie-Gower model with Holling type IV functional response and harvesting complexity
cites work: TURING-HOPF BIFURCATION IN THE REACTION-DIFFUSION SYSTEM WITH DELAY AND APPLICATION TO A DIFFUSIVE PREDATOR-PREY MODEL
cites work: Impact of the fear effect in a prey-predator model incorporating a prey refuge
cites work: Effects of spatial grouping on the functional response of predators
cites work: Impacts of foraging facilitation among predators on predator-prey dynamics
cites work: Hunting cooperation and Allee effects in predators
cites work: Bifurcation analysis in a predator-prey system with a functional response increasing in both predator and prey densities
cites work: Pattern dynamics in a diffusive predator-prey model with hunting cooperations
cites work: Dynamics and pattern formation in homogeneous diffusive predator-prey systems with predator interference or foraging facilitation
cites work: Allee Effect in Prey versus Hunting Cooperation on Predator — Enhancement of Stable Coexistence
cites work: Spatial dynamics in a predator-prey model with herd behavior
cites work: Bifurcations and Pattern Formation in a Predator–Prey Model
cites work: Spatiotemporal dynamics in the single population model with memory-based diffusion and nonlocal effect
cites work: Strategies for the existence of spatial patterns in predator-prey communities generated by cross-diffusion
cites work: Turing patterns in a reaction-diffusion system modeling hunting cooperation
cites work: Asymptotic behavior of positive solutions to a predator-prey elliptic system with strong hunting cooperation in predators
cites work: Qualitative analysis for a diffusive predator-prey model with hunting cooperative
cites work: Spatial dynamics of predator-prey system with hunting cooperation in predators and type I functional response
cites work: Stability and Turing Patterns in a Predator–Prey Model with Hunting Cooperation and Allee Effect in Prey Population
cites work: SPATIAL ASPECT OF HUNTING COOPERATION IN PREDATORS WITH HOLLING TYPE II FUNCTIONAL RESPONSE
cites work: Q5496425
cites work: Spatial patterns of a predator-prey model with cross diffusion
cites work: Cross-diffusion-driven instability for reaction-diffusion systems: analysis and simulations
cites work: Pattern formation driven by cross-diffusion in a 2D domain
cites work: Cross-diffusion induced spatiotemporal patterns in a predator-prey model with herd behavior
cites work: Stability and Hopf bifurcation of the stationary solutions to an epidemic model with cross-diffusion
cites work: Turing instability and pattern induced by cross-diffusion in a predator-prey system with Allee effect
cites work: Cross-diffusion-driven Turing instability and weakly nonlinear analysis of Turing patterns in a uni-directional consumer-resource system
cites work: Pattern formation in a ratio-dependent predator-prey model with cross-diffusion
cites work: Study of cross-diffusion induced Turing patterns in a ratio-dependent prey-predator model via amplitude equations
cites work: Turing Instability and Hopf Bifurcation in a Modified Leslie–Gower Predator–Prey Model with Cross-Diffusion
cites work: Cross-diffusion induced Turing instability for a competition model with saturation effect
cites work: Pattern formation outside of equilibrium
cites work: Biological Pattern Formation on Two-Dimensional Spatial Domains: A Nonlinear Bifurcation Analysis
DOI: 10.1016/J.NONRWA.2020.103106
Recommended article: Cross-diffusion driven instability in a predator-prey system with cross-diffusion
Recommended article: Stability analysis of predator-prey models involving cross-diffusion
Recommended article: Stability and bifurcation of a ratio-dependent prey-predator system with cross-diffusion
Recommended article: Stability of steady-state solutions to a prey--predator system with cross-diffusion.
Recommended article: Cross-diffusion-driven instability in a reaction-diffusion Harrison predator-prey model
Recommended article: Diffusion-driven instability in a predator-prey system with time-varying diffusivities
Recommended article: Stability and Turing instability in a diffusive predator-prey system with beddington-deangelis functional response
Recommended article: Diffusive instability in a prey-predator system with time-dependent diffusivity
Recommended article: Q3514023
Recommended article: Stability and coexistence of a diffusive predator-prey system with nonmonotonic functional response and fear effect
description: scientific article; zbMATH DE number 7189408