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Stability of extended uncertain Leontief input-output model on mobile services. (English) Zbl 1240.91097

Summary: A model to describe companies’ input-output process on mobile services is developed and tested. Through the theories from Leontief input-output economics, an extended singular dynamic input-output model on mobile service is provided. The problem of stability of this kind of input-output model on mobile services is researched. A new mathematical method is applied to study the singular systems without converting them into general systems. The parameter uncertainties are considered. A new stability criterion for the extended singular dynamic input-output model is given to ensure the stability of the input-output model.

MSC:

91B38 Production theory, theory of the firm
91B55 Economic dynamics
91B60 Trade models