Oscillation analysis ofθ-methods for the Nicholson's blowflies model

DOI10.1002/MMA.3534zbMath1343.65081OpenAlexW1945812535MaRDI QIDQ2802685

Qi Wang

Publication date: 26 April 2016

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

Full work available at URL: https://doi.org/10.1002/mma.3534

zbMATH Keywords

numerical exampleoscillation\(\theta\)-method

Mathematics Subject Classification ID

Stability and convergence of numerical methods for ordinary differential equations (65L20) Oscillation theory of functional-differential equations (34K11) Numerical methods for initial value problems involving ordinary differential equations (65L05) Numerical methods for functional-differential equations (65L03)

Related Items (1)

Oscillations analysis for two kinds of Nicholson models

Cites Work

• Exponential convergence for a class of Nicholson's blowflies model with multiple time-varying delays
• Stability and oscillations of numerical solutions for differential equations with piecewise continuous arguments of alternately advanced and retarded type
• Convergence for a class of non-autonomous Nicholson's blowflies model with time-varying coefficients and delays
• Oscillation analysis of numerical solution in the \(\theta\)-methods for equation \(x\prime (t) + ax(t) + a_{1}x([t - 1) = 0\)]
• Almost periodic solutions for an impulsive delay Nicholson's blowflies model
• Preservation of oscillations of the Runge-Kutta method for equation \(x'(t)+ax(t)+a_1x([t - 1)=0\)]
• Global stability of a class of Nicholson's blowflies model with patch structure and multiple time-varying delays
• Nicholson's blowflies differential equations revisited: main results and open problems
• Linearized oscillations in population dynamics
• Oscillation in a discrete partial delay Nicholson's blowflies model
• A new algorithm for calculating Adomian polynomials for nonlinear operators
• Hopf bifurcation analysis in a delayed Nicholson blowflies equation
• Stability of \(\theta\)-methods for advanced differential equations with piecewise continuous arguments
• A new approach for positive almost periodic solutions to a class of Nicholson's blowflies model
• Oscillation of continuous and discrete diffusive delay Nicholson's blowflies models
• OSCILLATION ANALYSIS OF NUMERICAL SOLUTIONS FOR NONLINEAR DELAY DIFFERENTIAL EQUATIONS OF POPULATION DYNAMICS

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