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A cellular automaton model

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  • HAL is a multi-disciplinary open access archive for the deposit and dissemination of scientific research documents, whether they are published or not. The documents may come from teaching and research institutions in France or abroad, or from public or private research centers.

    pdf10p nguyenhaisu 07-08-2015 38 3   Download

  • I present the investigation involving two extensions of the cellular automaton based NagelSchreckenberg model, the Velocity-Dependent-Randomisation (VDR) model, and the two-lane model for symmetric and asymmetric lane changing rule sets. The study of the VDR model outlines a potential method in extending the lifetime of a metastable state and consequently postponing an inevitable traffic jam by orders of magnitude. The two lane model produces a so called "critical" and "sub-critical" flow which combined cause the collapse of flow at a critical density.

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  • MODELLING AIDS EPIDEMIC AND TREATMENT WITH DIFFERENCE EQUATIONS K. M. TAMIZHMANI, A. RAMANI, B. GRAMMATICOS, AND A. S. CARSTEA Received 15 October 2003 and in revised form 10 March 2004 We propose two models for the description of the dynamics of an AIDS epidemic and of the effect of a combined-drugs AIDS treatment based on difference equations. We show that our interacting population model, despite its extreme simplicity, describes adequately the evolution of an AIDS epidemic. A cellular-automaton analogue of the discrete system of equations is presented as well.

    pdf11p sting12 10-03-2012 40 5   Download

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