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The pension is one of the pillars of social protection, so preserving the financial stability of the pension funds is a challenge to the future. In this paper, we propose a dynamic optimization model for the pension fund management. Applying this dynamic model targets to improving current techniques used by pension funds in Morocco in management and reform. The simulation results via the interior point algorithm for our dynamic optimization model provides the determination of contribution rates, replacement rates and optimal reserves of the Moroccan pension fund. [ABSTRACT FROM AUTHOR]

In this paper we present a dynamic model of economic growth taking into account the ecological balance. This model is a problem of optimal control on feedback of the investments of a firm related to the production and the deterioration of the pollution generated by the industries, in order to maximize the profit of the firm. the containtes of this model, are two hyperbolic dynamic equations, correspond to the accumulation of physical and human capital [ABSTRACT FROM AUTHOR]