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Abstract: In this paper we expose new method to analyse time series. The method is essentially applied for the prediction of time series among approximation and modelisation. It is based on wavelet decomposition combined with autoregressive models. An iterative procedure is applied and the performance of the estimator is measured by standardized error. Finally, a comparison with some existing models and methods has been pointed out to prove the performance of our’s. [Copyright &y& Elsevier]

Abstract: A nonlinear periodic food-chain predator–prey model is proposed in this paper, which can be seen as the modification of the traditional Lotka–Volterra food-chain system. Sufficient conditions which guarantee the existence of the positive periodic solution of the system are obtained. [Copyright &y& Elsevier]