ISSN:
1573-2878
Keywords:
Sales-advertising models
;
population dynamics
;
optimal control
;
distributed parameter systems
;
diffusion models
Source:
Springer Online Journal Archives 1860-2000
Topics:
Mathematics
Notes:
Abstract 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 model are well posed and that there exists an optimal control.
Type of Medium:
Electronic Resource
URL:
http://dx.doi.org/10.1007/BF00938216
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