Bifurcation and Turing instability for a predator-prey model with nonlinear reaction cross-diffusion

DOI10.1016/j.apm.2020.08.030zbMath1481.92099OpenAlexW3082299563WikidataQ115587160 ScholiaQ115587160MaRDI QIDQ2245853

Peiguang Wang, Pengmiao Hao, Hongyan Sun, Jianzhi Cao

Publication date: 15 November 2021

Published in: Applied Mathematical Modelling (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.apm.2020.08.030

zbMATH Keywords

bifurcationLyapunov-Schmidt reductionnonlinear cross-diffusionTuring stability

Mathematics Subject Classification ID

PDEs in connection with biology, chemistry and other natural sciences (35Q92) Population dynamics (general) (92D25) Initial-boundary value problems for second-order parabolic systems (35K51)

Related Items (6)

Bifurcation and Turing instability for genetic regulatory networks with diffusion ⋮ Turing instability in a modified cross-diffusion Leslie-Gower predator-prey model with Beddington-DeAngelis functional response ⋮ Pattern Formation of a Pathway-Based Diffusion Model: Linear Stability Analysis and an Asymptotic Preserving Method ⋮ Steady‐state bifurcation and Hopf bifurcation in a cross‐diffusion prey–predator system with Ivlev functional response ⋮ Turing pattern induced by the directed ER network and delay ⋮ Unnamed Item

Cites Work

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• Bifurcation of Reaction Cross-Diffusion Systems
• Bifurcation Phenomena in a Lotka–Volterra Model with Cross-Diffusion and Delay Effect
• Stability and bifurcation for a delayed predator-prey model and the effect of diffusion

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