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Author

Mark Kimathi

Department of Mathematics and Statistics, School of Pure and Applied Sciences, Machakos University, Kenya
1 article in our journals

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Research ArticleOpen accessIntegrating Stochastic Properties into Traffic Flow Modeling: A Stimulus-Response ApproachKonate N’Golo, Mark Kimathi, Emile DanhoHighway traffic congestion, characterized by its inherent instability, has been extensively studied using deterministic models, providing valuable insights. However, these models often overlook the stochastic nature of driver behavior, a key factor that significantly impacts traffic flow. Recognizing this, a car-following model with discretionary lane changes to analyze their effect on traffic dynamics was introduced. While the mathematical results were … …Journal of Mathematics and Statistics, Vol. 20, Issue 1 · 19 Dec 2024 · 7,153 accessesView PDFCite