Bifurcation analysis in the diffusive Lotka-Volterra system: an application to market economy

DOI10.1016/j.chaos.2007.08.043zbMath1197.35295OpenAlexW2010989175MaRDI QIDQ600526

Junjie Wei, A. W. Wijeratne, Feng-Qi Yi

Publication date: 31 October 2010

Published in: Chaos, Solitons and Fractals (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.chaos.2007.08.043

Mathematics Subject Classification ID

Reaction-diffusion equations (35K57) Dynamical systems in optimization and economics (37N40) Special types of economic markets (including Cournot, Bertrand) (91B54) Normal forms, center manifold theory, bifurcation theory for infinite-dimensional dissipative dynamical systems (37L10) PDEs in connection with game theory, economics, social and behavioral sciences (35Q91) Initial-boundary value problems for second-order parabolic systems (35K51)

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Cites Work

• Unnamed Item
• Oil and gas depletion: Diffusion models and forecasting under strategic intervention
• Business cycles and complex non-linear dynamics
• Multistability and path dependence in a dynamic brand competition model
• Stability and bifurcation analysis in a kind of business cycle model with delay
• Hopf bifurcation in a Volterra prey--predator model with strong kernel
• Dynamics of a generalized Gause-type predator-prey model with a seasonal functional response
• Complex dynamic behaviors of a discrete-time predator-prey system
• A simple spatiotemporal chaotic Lotka-Volterra model
• Chaos in a food chain chemostat with pulsed input and washout
• Optimal normative policies for marketing of products with limited availability
• Bifurcation from simple eigenvalues
• A New Product Growth for Model Consumer Durables
• Stability Properties of Solutions to Systems of Reaction-Diffusion Equations

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