Dynamical Model of E-Commerce Using Differential Equations with Delay

Abstract:

Rapid development of modern information and communications technology (ICT) is one of fundamental features of contemporary society. These changes must also reflect changes and needs of modern knowledge society. One of contemporary trends is to run information systems based on the same principles as running a business. The aim of this paper is to create a dynamical model for monitoring the value of corporate information system’s services in e-commerce. The model shall simulate the dynamics of a corporate information system and to express the value of important parameters. Structuring the model involved the use of analytic and synthetic methods, dynamical modelling and solution to a set of differential equations with delay. The necessary theory is explained briefly but sufficiently enough for expressing relations of the economic quantities examined. A huge advantage of the model lies in its simplicity; it only deals with some specifically selected.

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