Turing patterns in a predator-prey model with seasonality
type: Item
instance of: scholarly article
title: Turing patterns in a predator-prey model with seasonality
zbMATH Open document ID: 1408.35218
author: Xiaoying Wang
author: Frithjof Lutscher
published in: Journal of Mathematical Biology
publication date: 2019-03-15T00:00:00Z
review text: The authors study a reaction-diffusion system with impulsive terms which models predator-prey interactions in two stages: ``growing season'' and ``dormant season''. They show that pattern formation is possible with a Beddington-DeAngelis functional response in that model. Moreover, they find that a low overwinter survival probability for the resource enhances the propensity for pattern formation: diffusion-driven instability occurs even when the diffusion rates of prey and predator are comparable but not equal.
reviewed by: Piotr Biler
Mathematics Subject Classification ID: 35R12
Mathematics Subject Classification ID: 35B36
Mathematics Subject Classification ID: 92C15
Mathematics Subject Classification ID: 35K57
Mathematics Subject Classification ID: 35Q92
Mathematics Subject Classification ID: 92D25
zbMATH DE Number: 7036405
zbMATH Keywords: consumer-resource
zbMATH Keywords: impulsive reproduction
zbMATH Keywords: Turing bifurcation
zbMATH Keywords: pattern formation
zbMATH Keywords: reaction-diffusion equation
zbMATH Keywords: discrete system
MaRDI profile type: Publication
full work available at URL: s00285-018-1289-8
OpenAlex ID: W2889184727
Wikidata QID: Q91192815
cites work: Unravelling the Turing bifurcation using spatially varying diffusion coefficients
cites work: Analysis of a model for banded vegetation patterns in semi-arid environments with nonlocal dispersal
cites work: A mechanistic derivation of the DeAngelis-Beddington functional response
cites work: On the mechanistic underpinning of discrete-time population models with complex dynamics
cites work: On a system of reaction-diffusion equations arising from competition with internal storage in an unstirred chemostat
cites work: A Hybrid Continuous/Discrete-Time Model for Invasion Dynamics of Zebra Mussels in Rivers
cites work: The properties of a stochastic model for the predator-prey type of interaction between two species
cites work: Spreading speed, traveling waves, and minimal domain size in impulsive reaction-diffusion models
cites work: Applied Partial Differential Equations
cites work: Q4429919
cites work: Spatiotemporal complexity of patchy invasion in a predator-prey system with the Allee effect.
cites work: Dispersal and pattern formation in a discrete-time predator-prey model
cites work: Diffusion-driven instability in oscillating environments
cites work: Turing bifurcations with a temporally varying diffusion coefficient
cites work: Spatial, temporal and spatiotemporal patterns of diffusive predator–prey models with mutual interference
cites work: The chemical basis of morphogenesis
cites work: Analysis of spread and persistence for stream insects with winged adult stages
cites work: Dynamics and pattern formation in a diffusive predator-prey system with strong Allee effect in prey
DOI: 10.1007/S00285-018-1289-8
description: scientific article; zbMATH DE number 7036405