Numerical bifurcation analysis of a ?car-following? model

BIFURCATION ANALYSIS OF A DDE MODEL OF THE CORAL REEF

‎In this paper‎, ‎first we discuss a local stability analysis of model was introduced by P‎. ‎J‎. ‎Mumby et‎. ‎al‎. ‎(2007)‎, ‎with $frac{gM^{2}}{M+T}$ as the functional response term‎. ‎We conclude that the grazing intensity is the important parameter to control the existence or extinction of the coral reef‎. ‎Next‎, ‎we consider this model under the influence of the time delay as the bifurcat...

bifurcation analysis of a dde model of the coral reef

‎in this paper‎, ‎first we discuss a local stability analysis of model was introduced by p‎. ‎j‎. ‎mumby et‎. ‎al‎. ‎(2007)‎, ‎with $frac{gm^{2}}{m+t}$ as the functional response term‎. ‎we conclude that the grazing intensity is the important parameter to control the existence or extinction of the coral reef‎. ‎next‎, ‎we consider this model under the influence of the time delay as the bifurcat...

A Car Following Model for Motorway Traffic

This paper presents a new car-following model which aims to capture some of the key motorway flow characteristics, namely traffic breakdown, hysteresis, shockwave propagation as well as close-following behaviour. The model proposes three different driving states: non-alert, alert and close-following. Under the different driving states, drivers apply different reaction time and acceleration. Thi...

Numerical Bifurcation Analysis of Dynamical Systems

Numerical Analysis of Perturbed Bifurcation Problems

Perturbations of nonlinear equations exhibiting bifurcation from simple eigenvalue can either preserve or destroy the bifurcation. Both types of perturbation are investigated, and some numerical techniques suited for the determination of the associated solution manifold are proposed. These methods can be implemented into existing software packages of numerical standard algorithms for path-follo...