AGE-DEPENDENT POPULATION-DYNAMICS WITH SEVERAL INTERIOR VARIABLES ANDSPATIAL SPREAD

The problems of the asymptotic behavior of age-dependent population mo dels with interior and spatial structures are considered. It is proved that the existence and uniqueness of the stable state and its exact f orm is founded for general linear models. Problems on the speed of con vergence to stable state and transitional effects are investigated. Me thods of solving two special classes of nonlinear models (separate mod els and models of the Gurtin-MacCami type) are suggested. A model of f orest stand dynamics on the basis of conception of layer-mosaic charac teristics of the spatial-temporal structure of stands is examined as a n example of the application of given results.