Mathematical Model of Technology Diffusion in Developing Countries

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Diffusion of technology in developing countries from macro-economic and macro-marketing perspectives is studied. The interest is to investigate the enabling environmental factors that are essential to bring forth a successful diffusion of technology. These factors may include a competitive backbone, a social backbone, and a technological backbone. A system of ordinary differential equations is proposed to model the process of co-diffusion of a class of dependent technologies in a social economic environment which includes such variables as political concerns, social responses, cultural compatibility, and existing technologies. A numerical example is presented to illustrate how the model may be implemented.