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An economic group model for innovation diffusion of new product with delay of adoption for low income group | ||
| Journal of Mathematical Modeling | ||
| مقاله 17، دوره 7، شماره 1، خرداد 2019، صفحه 117-132 اصل مقاله (389.59 K) | ||
| نوع مقاله: Research Article | ||
| شناسه دیجیتال (DOI): 10.22124/jmm.2018.10330.1155 | ||
| نویسندگان | ||
| Rishi Tuli* 1؛ Joydip Dhar2؛ Harbax Bhatti3 | ||
| 1Research Scholar, IKG-Punjab Technical University, Kapurthala, India | ||
| 2ABV-IIITM, Gwalior, M.P., India | ||
| 3B.B.S.B. Engineering College, Fatehgarh Sahib Punjab, India | ||
| چکیده | ||
| In this paper, an economic group delay model is established. Dynamical behavior and Basic influence number of the proposed system are studied. Asymptotic stability analysis is carried out for the steady-states. The critical value of the delay $\tau$ is determined. It is observed that for the interior steady-state remains stable if the adoption delay for the low-income group is less than the threshold value, i.e., $\tau<\tau_{0}^+$. If $\tau$ crosses its threshold, system perceives oscillating behavior, and Hopf bifurcation occurs. Moreover, sensitivity analysis is performed for the system parameter used in the interior steady-state. Finally, numerical simulations are conducted to support our analytical findings. | ||
| کلیدواژه‌ها | ||
| Boundedness؛ positivity؛ delay؛ Hopf bifurcation؛ sensitivity analysis | ||
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