Global solution and spatial patterns for a ratio-dependent predator-prey model with predator-taxis
type: Item
instance of: scholarly article
title: Global solution and spatial patterns for a ratio-dependent predator-prey model with predator-taxis
zbMATH Open document ID: 1485.35044
author: Xiaoyan Gao
published in: Results in Mathematics
publication date: 2022-03-15T00:00:00Z
Mathematics Subject Classification ID: 35B36
Mathematics Subject Classification ID: 35B40
Mathematics Subject Classification ID: 35K51
Mathematics Subject Classification ID: 35K57
Mathematics Subject Classification ID: 35K59
Mathematics Subject Classification ID: 92D25
zbMATH DE Number: 7490177
zbMATH Keywords: ratio-dependent model
zbMATH Keywords: predator-taxis
zbMATH Keywords: global solution
zbMATH Keywords: stability
zbMATH Keywords: heat operator semigroup
zbMATH Keywords: diffusion-driven instability
Wikidata QID: Q114231958
describes a project that uses: PRED_PREY
MaRDI profile type: Publication
full work available at URL: s00025-021-01595-z
OpenAlex ID: W4220703228
cites work: Global existence of classical solutions to a predator-prey model with nonlinear prey-taxis
cites work: Global existence of solutions and uniform persistence of a diffusive predator-prey model with prey-taxis
cites work: Stability, Steady‐State Bifurcations, and Turing Patterns in a Predator–Prey Model with Herd Behavior and Prey‐taxis
cites work: Dynamics and pattern formations in a three-species predator-prey model with two prey-taxis
cites work: Uniform boundedness of solutions for a two species taxis system with intraspecific and interspecific competition
cites work: Pattern formation of a predator-prey model with the cost of anti-predator behaviors
cites work: Dynamics and pattern formation of a diffusive predator–prey model with predator-taxis
cites work: Global solution for a general cross-diffusion two-competitive-predator and one-prey system with predator-taxis
cites work: Pattern formation in diffusive predator-prey systems with predator-taxis and prey-taxis
cites work: Global boundedness in a chemotaxis quasilinear parabolic predator-prey system with pursuit-evasion
cites work: Global qualitative analysis of a ratio-dependent predator-prey system
cites work: About deterministic extinction in ratio-dependent predator-prey models
cites work: Global analysis of the Michaelis-Menten-type ratio-dependent predator-prey system
cites work: Global asymptotic stability of a ratio-dependent predator-prey system with diffusion
cites work: Self-replication of spatial patterns in a ratio-dependent predator-prey model
cites work: Spatiotemporal dynamics in a diffusive ratio-dependent predator-prey model near a Hopf-Turing bifurcation point
cites work: Temporal and spatial patterns in a diffusive ratio-dependent predator–prey system with linear stocking rate of prey species
cites work: Bifurcation and Turing pattern formation in a diffusive ratio-dependent predator-prey model with predator harvesting
cites work: Dynamic theory of quasilinear parabolic equations. II: Reaction-diffusion systems
cites work: LPBounds of solutions of reaction-diffusion equations
cites work: Q3142878
cites work: Finite-difference schemes for reaction-diffusion equations modeling predator-prey interactions in MATLAB
cites work: Turing patterns in a diffusive epidemic model with saturated infection force
DOI: 10.1007/S00025-021-01595-Z
description: scientific article; zbMATH DE number 7490177