Stability of Numerical Schemes for the Delay Blowflies Equation

Ekkachai Kunnawuttipreechachan
In this paper the delay Nicholson's blowflies equation has been solved by the θ-mathod. The purpose is to analyse stability of the numerical schemes using the linearisation method. Our obtained results show sufficient conditions in which the numerical solutions are stable. Moreover, we also show some nonlinear stability in the case that θ = 1, and show that it gives a well-defined discrete dynamical system on the stability.