Pattern formation in a predator-prey model with both cross diffusion and time delay
type: Item
instance of: scholarly article
title: Pattern formation in a predator-prey model with both cross diffusion and time delay
zbMATH Open document ID: 1406.92535
DOI: 10.1155/2014/392435
author: Yakui Xue
author: Bo-li Xie
author: Zhijun Wang
published in: Abstract and Applied Analysis
publication date: 2019-02-14T00:00:00Z
review text: Summary: A predator-prey model with both cross diffusion and time delay is considered. We give the conditions for emerging Turing instability in detail. Furthermore, we illustrate the spatial patterns via numerical simulations, which show that the model dynamics exhibits a delay and diffusion controlled formation growth not only of spots and stripe-like patterns, but also of the two coexist. The obtained results show that this system has rich dynamics; these patterns show that it is useful for the diffusive predation model with a delay effect to reveal the spatial dynamics in the real model.
Mathematics Subject Classification ID: 92D25
Mathematics Subject Classification ID: 35Q92
zbMATH DE Number: 7022296
zbMATH Keywords: predator-prey model
zbMATH Keywords: pattern formation
zbMATH Keywords: cross diffusion
zbMATH Keywords: time delay
Wikidata QID: Q59037206
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2014/392435
OpenAlex ID: W1998345645
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description: scientific article; zbMATH DE number 7022296