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Open access
Oct 2026
A macroscopic traffic flow model with gap-controlled driver response and adaptive reaction dynamics
Macroscopic traffic flow models play a critical role in analysing and predicting large-scale traffic behaviour. The Payne-Whitham (PW) model has provided a foundational framework in this domain, yet its assumption of instantaneous driver response and fixed desired velocity limits its ability to capture the nuances of r...
Benjamin Simwinga, Aaron Zimba, Mayumbo Nyirenda
· Discover Networks · 0 citations
Sep 2026
A macro-micro coupled evolution model of highway traffic flow considering driving behavior heterogeneity
Highway traffic dynamics emerge from interactions between aggregate traffic states and individual driving behaviors, yet most models represent only one scale. This study proposes a bidirectional macro-micro coupled model integrating the Cell Transmission Model, the Intelligent Driver Model, and a MOBIL-inspired lane-ch...
Xiao Gong, Yong-Jia Wang, Zhu-Qing Wu et al.
· International Symposium on S... · 0 citations
Open access
Aug 2026
Modelling the impact of unregulated roadside parking on traffic flow
Unregulated roadside parking is a pervasive feature of urban traffic in many developing cities, where limited enforcement and inadequate infrastructure allow vehicles to occupy travel lanes. This practice narrows effective road capacity, introduces unexpected bottlenecks, and intensifies congestion, yet most existing...
Gabriel Obed Fosu, S. Mensah, A. Adu-Sackey
· Mathematics in Applied Scien... · 0 citations
Open access
Aug 2026
The Noise-Perturbed Onset of Chaos as a Model for Dissolution of Congested Vehicle Traffic
We present a nonlinear dynamical model for vehicular traffic jams and their dissolution based on the noise-perturbed onset of chaos. The model makes use of the bifurcation gap generated by addition of noise to quadratic iterated maps. The gap results from the elimination by noise of periodic and chaotic attractors with...
Santa Elena Tellez-Flores, Alberto Robledo
· Complexities · 0 citations
Aug 2026
Chaos and Bifurcation Analysis of a Discrete Time Financial Risk Model
Financial risk dynamics often exhibit irregular fluctuations that are well described by nonlinear models with complex behavior. Motivated by the suitability of discrete-time representations for financial phenomena, this paper develops and studies a discrete-time financial risk evolution model obtained by applying the f...
M. S. Khan, Absar Ul Haq, Waqas Nazeer
· International Journal of Bif... · 0 citations
Open access
2026
Steady-state bifurcation and pattern formation in a predator-prey model with prey-taxis
In this paper, the bifurcation structure and stability of the nonconstant positive steady states in a ratio-dependent predator-prey model with prey-taxis are described. First, the stability results for the positive constant equilibrium will extend to the derivative of prey's functional response with prey is positive. I...
Xiao-Yan Gao, Zhi-Qian He, Liang-Ying Miao
· Electronic Journal of Qualit... · 0 citations