Existence of time periodic solutions for the Nicholson's blowflies model with Newtonian diffusion

DOI10.1002/mma.1228zbMath1191.35029OpenAlexW1986789965MaRDI QIDQ3565037

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Publication date: 27 May 2010

Published in: Mathematical Methods in the Applied Sciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1002/mma.1228

zbMATH Keywords

time delayLyapunov functionalsLeray-Schauder fixed point theoremintegral term

Mathematics Subject Classification ID

Periodic solutions to PDEs (35B10) PDEs in connection with biology, chemistry and other natural sciences (35Q92) Partial functional-differential equations (35R10) Semilinear parabolic equations (35K58) Integro-partial differential equations (35R09)

Related Items (6)

MULTIPLICITY OF POSITIVE PERIODIC SOLUTIONS FOR A NICHOLSON-TYPE BLOWFLIES MODEL WITH NONLINEAR DECIMATION TERMS ⋮ Existence and attractivity of time periodic solutions for Nicholson's blowflies model with nonlinear diffusion ⋮ Time periodic solutions of the diffusive Nicholson blowflies equation with delay ⋮ A SHORT SURVEY ON DELAY DIFFERENTIAL SYSTEMS WITH PERIODIC COEFFICIENTS ⋮ Periodic solutions of a class of degenerate parabolic system with delays ⋮ Pseudo almost periodic dynamics of delay Nicholson's blowflies model with a linear harvesting term

Uses Software

• KELLEY

Cites Work

• Schaefer type theorem and periodic solutions of evolution equations
• A globally convergent Newton-GMRES method for large sparse systems of nonlinear equations
• Geometric theory of semilinear parabolic equations
• Periodic solutions of abstract differential equations with infinite delay
• Periodic solutions of evolution \(p\)-Laplacian equations with nonlinear sources
• Dirichlet problem for the diffusive Nicholson's blowflies equation
• Numerical steady state and Hopf bifurcation analysis on the diffusive Nicholson's blowflies equation
• Numerical Methods for Time-Periodic Solutions of Nonlinear Parabolic Boundary Value Problems
• A Globally Convergent Newton-GMRES Subspace Method for Systems of Nonlinear Equations
• Inexact Newton Methods
• Tensor-GMRES Method for Large Systems of Nonlinear Equations
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