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. One of the problems which appear during comprehension and working of the complex systems is the analysis of the stability of their functioning. These last years, the specialists became aware of the importance of the stability analysis in actuarial sciences and in financial mathematics. In this work, we are interested in the application of the strong stability method in queueing systems and in risk models. We clarify the conditions of equivalence and translation of results between models of these two theories. Resume . L’un des probl`emes qui apparaissent lors de la conception et de l’exploitation des syst`emes complexes est l’analyse de la stabilit´e de leur fonctionnement. Ces derni`eres ann´ees, les sp´ecialistes ont pris conscience de l’importance de l’analyse de stabilit´e dans les probl`emes en actuariat et en math´ematiques financi`eres. Dans ce travail, nous nous int´eressons `a l’application de la m´ethode de stabilit´e forte dans les files d’attente et les mod`eles de risque. Nous  clarifions ainsi les conditions d’´equivalence et de translation de r´esultats entre la th´eorie de risque et celle des files d’attente. Key words : Risk models, Ruin probabilities, Queueing systems, Interaction risk and queueing theories, Strong stability, Continuity estimates.

Modeles de Risque et Files d’Attente: La methode de stabilite forte