Structural stability of a stage structured model of fish : the case of the anchovy (Engraulis encrasicolus L.) in the bay of Biscay
Résumé
A study of stage structured model of fish population is presented. This model focuse on the anchovy population in the Bay of Biscay (Engraulis encrasicolus L.) is presented. The method of study is based on an intermediate complexity mathematical model, taking into account the spatialisation, the environmental conditions and the stage-structure of the fishes. First, to test the model, we show mathematical properties, such as unicity of the solution of structural stability. Then we provide numerical simulations, to validate the model and to test the dynamics according to the variations of the parameters.