Bifurcations in a predator-prey model with memory and diffusion. II: Turing bifurcation

DOI10.1007/BF01874463zbMath0809.92018WikidataQ115610242 ScholiaQ115610242MaRDI QIDQ1320480

Miklos Farkas, Mario Cavani

Publication date: 26 May 1994

Published in: Acta Mathematica Hungarica (Search for Journal in Brave)

zbMATH Keywords

stationary solutionzero-flux boundary conditionsconstraintsTuring bifurcationone-dimensional reaction-diffusion systempredator diffusion rateprey diffusion ratestability of a positive equilibrium

Mathematics Subject Classification ID

Stability in context of PDEs (35B35) Reaction-diffusion equations (35K57) PDEs in connection with biology, chemistry and other natural sciences (35Q92) Population dynamics (general) (92D25) Applications of dynamical systems (37N99) Bifurcation theory for PDEs on manifolds (58J55)

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Cites Work

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• Bifurcations in a predator-prey model with memory and diffusion. I: Andronov-Hopf bifurcation
• Bifurcation, perturbation of simple eigenvalues, and linearized stability
• Stability Properties of Solutions to Systems of Reaction-Diffusion Equations

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