Nicoleta Sirghi, Mihaela Neamtu, "Deterministic and Stochastic Advertising Diffusion Model with Delay," WSEAS Transactions on Systems and Control, vol. 8, pp. -, 2013, DOI:
Nicoleta Sirghi, Mihaela Neamtu. Deterministic and Stochastic Advertising Diffusion Model with Delay.
WSEAS Transactions on Systems and Control. 2013;8:-.
WSEAS Transactions on Systems and Control
Print ISSN: 1991-8763, E-ISSN: 2224-2856
Volume 8, 2013
Deterministic and Stochastic Advertising Diffusion Model with Delay
Authors: ,
Abstract: This paper analysis an advertising diffusion model. A firm launches a new product and devotes a fixed proportion of sales to advertising, while customers go through a three stage adoption process with some delay, on the effect of advertisement. The mathematical model is described by a nonlinear differential system with delay. We set the condition for the existence of the delay parameter value for which the model displays a Hopf bifurcation. The direction and the stability of the Hopf bifurcation is done. The stochastic case is taken into consideration. The last part of the paper includes numerical simulations and conclusions.
Pages: - WSEAS Transactions on Systems and Control, ISSN / E-ISSN: 1991-8763 / 2224-2856, Volume 8, 2013DOI: *As the DOI is a unique identifier, it is already available in the pdf version.
**The DOI link will be activated in the first midst of January 2026.
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