Structured population models are transport-type equations often applied to describe
evolution of heterogeneous populations of biological cells, animals or humans, including …

The traffic signal control plays a fundamental role to improve the efficiency and efficacy of
traffic flows in traffic networks. This paper is the first work in which we consider a …

We consider the following transport equation in the space of bounded, nonnegative Radon
measures M+ (Rd): θtμt+ θx (v (x) μt)= 0: We study the sensitivity of the solution μt with …

In this article, we investigate theoretical and numerical properties of the first-order Lighthill-
Whitham-Richards (LWR) traffic flow model with time delay. Since standard results from the …

In this paper we obtain an existence result for a measure differential equation with a
nonlinear growth/decay term that may change the sign. This generalizes the model setting …

Aiming at the problems of poor prediction effect, low accuracy and long prediction time, the
traffic flow prediction method based on double flow graph convolution network is proposed …

There are some problems in the existing traffic flow forecasting models, such as low
prediction accuracy and high time cost. RFID technology is used to transmit traffic flow data …

In this thesis we are concerned with mathematical methods and models for traffic flow, with
special emphasis to second-order effects like Stop & Go waves. To begin with, we …

In this paper we propose coupling conditions for a kinetic two velocity model for vehicular
traffic on networks. These conditions are based on the consideration of the free space on the …

In this thesis we propose a model to describe traffic flows on network by the theory of
measure-based equations. We first apply our approach to the initial/boundary-value problem …