Oscillation analysis of θ‐methods for the Nicholson's blowflies model
Copyright policy )Oscillation analysis of θ‐methods for the Nicholson's blowflies model
This paper is concerned with the oscillation of numerical solution for the Nicholson's blowflies model. Using two kinds of θ‐methods, namely, the linear θ‐method and the one‐leg θ‐method, several conditions under which the numerical solution oscillates are derived. Moreover, it is shown that every non‐oscillatory numerical solution tends to equilibrium point of the original continuous‐time model. Finally, numerical experiments are provided to illustrate the analytical results. Copyright © 2015 John Wiley & Sons, Ltd.
- Guangdong University of Technology China (People's Republic of)
\(\theta\)-method, numerical example, Oscillation theory of functional-differential equations, Numerical methods for functional-differential equations, oscillation, Numerical approximation of solutions of functional-differential equations, Numerical methods for initial value problems involving ordinary differential equations, Stability and convergence of numerical methods for ordinary differential equations
\(\theta\)-method, numerical example, Oscillation theory of functional-differential equations, Numerical methods for functional-differential equations, oscillation, Numerical approximation of solutions of functional-differential equations, Numerical methods for initial value problems involving ordinary differential equations, Stability and convergence of numerical methods for ordinary differential equations
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