University of Guilan Journal of Mathematical Modeling 2345-394X 7 1 2019 03 01 An economic group model for innovation diffusion of new product with delay of adoption for low income group 117 132 3227 10.22124/jmm.2018.10330.1155 EN Rishi Tuli Research Scholar, IKG-Punjab Technical University, Kapurthala, India Joydip Dhar ABV-IIITM, Gwalior, M.P., India Harbax Bhatti B.B.S.B. Engineering College, Fatehgarh Sahib Punjab, India Journal Article 2018 05 10 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. https://jmm.guilan.ac.ir/article_3227_1bfc83f2c2dba775c2891c5288d2eb59.pdf