Geodesic
Modeling the traffic flow in areas with different speed limits
Teoretičeskaâ i matematičeskaâ fizika, Tome 220 (2024) no. 2, pp. 339-349 Cet article a éte moissonné depuis la source Math-Net.Ru

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The main result of this paper is a mathematical model that describes the dynamics of the motion of several cars in areas with different speed limits. As such areas, we can consider speed limit zones and speed bumps or uneven road surfaces. The model is a system of differential equations with a delayed argument. The dynamical properties of the model are studied by numerical methods. A computer program has been developed that uses the model to describe the motion of traffic flows in various road situations. The simulation results coincide with the observation data of real traffic flows.
Keywords: mathematical model, traffic flow dynamics, differential equations with delay. 
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M. A. Pogrebnyak. Modeling the traffic flow in areas with different speed limits. Teoretičeskaâ i matematičeskaâ fizika, Tome 220 (2024) no. 2, pp. 339-349. http://geodesic.mathdoc.fr/item/TMF_2024_220_2_a7/

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