کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
1707222 1012515 2006 18 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Mathematical models of innovation diffusion with stage structure
موضوعات مرتبط
مهندسی و علوم پایه سایر رشته های مهندسی مکانیک محاسباتی
پیش نمایش صفحه اول مقاله
Mathematical models of innovation diffusion with stage structure
چکیده انگلیسی

Mathematical models with stage structures are proposed to describe the process of awareness, evaluation and decision-making. First, a system of ordinary differential equations is presented that incorporates the awareness stage and the decision-making stage. If the adoption rate is bilinear and imitations are dominant, we find a threshold above which innovation diffusion is successful. Further, if the adoption rate has a higher nonlinearity, it is shown that there exist bistable equilibria and a region such that an innovation diffusion is successful inside and is unsuccessful outside. Secondly, a model with a time delay is proposed that includes an evaluation stage of a product. It is proved that the system exhibits stability switches. The bifurcation direction of equilibria is also discussed.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Applied Mathematical Modelling - Volume 30, Issue 1, January 2006, Pages 129–146
نویسندگان
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