Pattern formation in a predator-prey model with both cross diffusion and time delay

DOI10.1155/2014/392435zbMath1406.92535OpenAlexW1998345645WikidataQ59037206 ScholiaQ59037206MaRDI QIDQ1724011

Yakui Xue, Bo-li Xie, Zhi-Jun Wang

Publication date: 14 February 2019

Published in: Abstract and Applied Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1155/2014/392435

zbMATH Keywords

time delaypattern formationpredator-prey modelcross diffusion

Mathematics Subject Classification ID

PDEs in connection with biology, chemistry and other natural sciences (35Q92) Population dynamics (general) (92D25)

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Pattern dynamics in a Gierer-Meinhardt model with a saturating term ⋮ Pattern Formation and Oscillations in Reaction–Diffusion Model with p53-Mdm2 Feedback Loop

Cites Work

• Analysis of a predator-prey model with modified Leslie-Gower and Holling-type II schemes with time delay
• Limit cycle and numerical similations for small and large delays in a predator-prey model with modified Leslie-Gower and Holling-type II schemes
• Metastability in a temperature-dependent model system for predator-prey mite outbreak interactions on fruit trees
• Persistence and stability for a two-species ratio-dependent predator-prey system with time delay in a two-patch environment
• On Nonlinear Dynamics of Predator-Prey Models with Discrete Delay
• Dynamics of a Predator-Prey Model
• Global Stability for a Class of Predator-Prey Systems

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