Persistence and Turing instability in a cross-diffusive predator-prey system with generalist predator
type: Item
instance of: scholarly article
title: Persistence and Turing instability in a cross-diffusive predator-prey system with generalist predator
zbMATH Open document ID: 1446.37091
author: Baojun Miao
published in: Advances in Difference Equations
publication date: 2019-01-22T00:00:00Z
Mathematics Subject Classification ID: 37N25
Mathematics Subject Classification ID: 92D25
zbMATH DE Number: 7004996
zbMATH Keywords: cross-diffusion
zbMATH Keywords: Turing instability
zbMATH Keywords: predator-prey models
zbMATH Keywords: linear stability
zbMATH Keywords: persistence
Wikidata QID: Q115518838
MaRDI profile type: Publication
full work available at URL: s13662-018-1676-x
OpenAlex ID: W2887712472
cites work: Hopf and steady state bifurcation analysis in a ratio-dependent predator-prey model
cites work: Stability and bifurcation of a ratio-dependent prey-predator system with cross-diffusion
cites work: Predator interference effects on biological control: the ``paradox'' of the generalist predator revisited
cites work: Strategy and stationary pattern in a three-species predator--prey model
cites work: Existence of spatial patterns in a predator-prey model with self- and cross-diffusion
cites work: The spatial patterns through diffusion-driven instability in a predator-prey model
cites work: Dynamic behaviour of a reaction-diffusion predator-prey model with both refuge and harvesting
cites work: Stability and Turing instability in a diffusive predator-prey system with beddington-deangelis functional response
cites work: Global asymptotic stability of a diffusive predator-prey model with ratio-dependent functional response
cites work: Persistence and the global dynamics of the positive solutions for a ratio dependent predator-prey system with a crowding term in the prey equation
cites work: The chemical basis of morphogenesis
cites work: On the global asymptotic stability of solutions to a generalised Lengyel-Epstein system
cites work: Pattern formation for a volume-filling chemotaxis model with logistic growth
cites work: Stability of patterns and of constant steady states for a cross-diffusion system
cites work: Instability induced by cross-diffusion in reaction-diffusion systems
cites work: The global stability and pattern formations of a predator-prey system with consuming resource
cites work: Turing patterns induced by cross-diffusion in a predator-prey system in presence of habitat complexity
cites work: Turing pattern formation in a predator-prey system with cross diffusion
cites work: Pattern formation in a predator-prey diffusion model with stage structure for the predator
cites work: Turing pattern formation on the sphere for a morphochemical reaction-diffusion model for electrodeposition
cites work: Pattern dynamics in a Gierer-Meinhardt model with a saturating term
cites work: Turing instability and pattern induced by cross-diffusion in a predator-prey system with Allee effect
cites work: SPATIAL PATTERN IN A PREDATOR-PREY SYSTEM WITH BOTH SELF- AND CROSS-DIFFUSION
cites work: Spatial patterns through Turing instability in a reaction-diffusion predator-prey model
cites work: Effect of prey refuge on spatiotemporal dynamics of the reaction-diffusion system
cites work: Turing pattern formation in a predator-prey-mutualist system
cites work: Turing pattern formation in a three species model with generalist predator and cross-diffusion
cites work: Turing instability for a competitor-competitor-mutualist model with nonlinear cross-diffusion effects
cites work: Cross-diffusion induced Turing instability for a three species food chain model
DOI: 10.1186/S13662-018-1676-X
description: scientific article; zbMATH DE number 7004996