Maximal attractor, stability, and persistence for prey-predator model with saturation.

DOI10.1016/S0895-7177(99)00194-6zbMath1043.92531WikidataQ115564134 ScholiaQ115564134MaRDI QIDQ1596966

Jian-hua Wu

Publication date: 5 May 2002

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

zbMATH Keywords

PersistenceStabilityPrincipal eigenvalueComparison theoremMaximal attractor

Mathematics Subject Classification ID

Attractors (35B41) Nonlinear parabolic equations (35K55) Attractors and their dimensions, Lyapunov exponents for infinite-dimensional dissipative dynamical systems (37L30) Dynamical systems in biology (37N25) Population dynamics (general) (92D25) Ecology (92D40)

Cites Work

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• Infinite-dimensional dynamical systems in mechanics and physics
• \(S\)-shaped global bifurcation curve and Hopf bifurcation of positive solutions to a predator-prey model
• Existence and uniqueness of coexistence states for a predator-prey model with diffusion
• Coexistence states for a cooperative model with saturation
• Nonlinear boundary value problems suggested by chemical reactor theory
• Persistence in Infinite-Dimensional Systems
• Bifurcation of steady-state solutions in predator-prey and competition systems
• Global Bifurcation of Positive Solutions in Some Systems of Elliptic Equations
• Generation of Analytic Semigroups by Strongly Elliptic Operators Under General Boundary Conditions

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