Stability Switches and Bifurcation Analysis of a Time Delay Model for the Diffusion of a New Technology

DOI10.1142/S0218127414501132zbMath1301.34105MaRDI QIDQ2932621

Graziella Pacelli, Luca Guerrini, Luca Vincenzo Ballestra

Publication date: 3 December 2014

Published in: International Journal of Bifurcation and Chaos (Search for Journal in Brave)

zbMATH Keywords

time delaybifurcationBass modeldiffusion of technology

Mathematics Subject Classification ID

Transformation and reduction of functional-differential equations and systems, normal forms (34K17) Stability theory of functional-differential equations (34K20) Environmental economics (natural resource models, harvesting, pollution, etc.) (91B76) Periodic solutions to functional-differential equations (34K13) Qualitative investigation and simulation of models involving functional-differential equations (34K60) Bifurcation theory of functional-differential equations (34K18) Mathematical sociology (including anthropology) (91D99) Invariant manifolds of functional-differential equations (34K19)

Related Items (4)

Dynamics analysis of a mathematical model for new product innovation diffusion ⋮ Stability and bifurcation analysis for a class of generalized reaction-diffusion neural networks with time delay ⋮ A nonlinear dynamic model for credit risk contagion ⋮ Bifurcation analysis of a nonlinear diffusion model: effect of evaluation period for the diffusion of a technology

Cites Work

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• Roots of the Transcendental Equation Associated with a Certain Difference-Differential Equation

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