POSITIVE SOLUTIONS BIFURCATING FROM ZERO SOLUTION IN A PREDATOR-PREY REACTION–DIFFUSION SYSTEM

DOI10.3846/13926292.2011.628707zbMath1242.35038OpenAlexW2133405658WikidataQ115484125 ScholiaQ115484125MaRDI QIDQ2883524

Cun-Hua Zhang, Xiang-Ping Yan

Publication date: 10 May 2012

Published in: Mathematical Modelling and Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3846/13926292.2011.628707

zbMATH Keywords

Lyapunov-Schmidt reduction methodimplicit function theoremsteady state bifurcationHolling-type II schemes

Mathematics Subject Classification ID

Stability in context of PDEs (35B35) Population dynamics (general) (92D25) Bifurcations in context of PDEs (35B32) Semilinear elliptic equations (35J61) Positive solutions to PDEs (35B09) Boundary value problems for second-order elliptic systems (35J57)

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