Stability and bifurcation analysis of a delayed innovation diffusion model

DOI10.1016/S0252-9602(18)30776-8zbMath1399.34248OpenAlexW2794139224WikidataQ110648671 ScholiaQ110648671MaRDI QIDQ1637055

Y. Aharonov

Publication date: 7 June 2018

Published in: Acta Mathematica Scientia. Series B. (English Edition) (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0252-9602(18)30776-8

zbMATH Keywords

stability analysiscenter manifold theoremnormal form theoryHopf-bifurcationinnovation diffusion model

Mathematics Subject Classification ID

Transformation and reduction of functional-differential equations and systems, normal forms (34K17) Stability theory of functional-differential equations (34K20) Qualitative investigation and simulation of models involving functional-differential equations (34K60) Bifurcation theory of functional-differential equations (34K18) Marketing, advertising (90B60) Invariant manifolds of functional-differential equations (34K19) Stationary solutions of functional-differential equations (34K21)

Related Items (4)

Dynamical behavior of an innovation diffusion model with intra-specific competition between competing adopters ⋮ Bifurcation analysis of a nonlinear diffusion model: effect of evaluation period for the diffusion of a technology ⋮ Sustaining of two competing products under the impact of the media including the experience of adopters ⋮ Stability and Hopf Bifurcation Analysis of a Delayed Innovation Diffusion Model with Intra-Specific Competition

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Analysis of a toxin producing phytoplankton-zooplankton interaction with Holling IV type scheme and time delay
• Modeling the effects of variable external influences and demographic processes on innovation diffusion
• Delay differential equations: with applications in population dynamics
• Stability of innovation diffusion model with nonlinear acceptance
• Global stability of an innovation diffusion model for \(n\) products
• The dynamic of plankton-nutrient interaction with delay
• Innovation diffusion model in patch environment.
• An innovation diffusion model for three competitive products
• Normal forms for retarded functional differential equations with parameters and applications to Hopf bifurcation
• Hopf bifurcation of a predator-prey model with time delay and stage structure for the prey
• A bifurcation path to chaos in a time-delay fisheries predator-prey model with prey consumption by immature and mature predators
• Bifurcation analysis in a predator\,-\,prey system with time delay
• Mathematical models of innovation diffusion with stage structure
• Modelling and analysis of a prey-predator system with stage-structure and harvesting
• Stability of competitive innovation diffusion model
• Bifurcation behaviors analysis of a plankton model with multiple delays
• A New Product Growth for Model Consumer Durables
• Introduction Strategy for New Products with Positive and Negative Word-of-Mouth
• Technical Change and the Rate of Imitation
• A Primer on Mathematical Models in Biology
• LOCAL AND GLOBAL HOPF BIFURCATION IN A DELAYED HEMATOPOIESIS MODEL
• Elements of applied bifurcation theory
• Functional differential equations

This page was built for publication: Stability and bifurcation analysis of a delayed innovation diffusion model