Dynamics and optimization of a distributed sales advertising model
A general sales-advertising model is developed in which the state of the system represents a population distribution over a parameter space. With appropriate interpretations, this can include income, family size, geographic distributions, etc. Effects of information diffusion, interaction, and population migration are included. Under fairly general conditions, it is shown that such models are well-posed and that there exists an optimal control.
scientific article; zbMATH DE number 3939087