This paper deals with various applications of conservation laws on networks. In particular we consider the car traffic, described by the LighthillWhitham-Richards model and by the Aw-Rascle-Zhang model, the telecommunication case, by using the model introduced by D’Apice-Manzo-Piccoli and, finally, the case of a gas pipeline, modeled by the classical p-system.

Several sigmoidal functions (logistic, Gompertz, Richards, Schnute, and Stannard) were compared to describe a bacterial growth curve. They were compared statistically by using the model of Schnute, which is a comprehensive model, encompassing all other models. The t test and the F test were used. With the t test, confidence intervals for parameters can be calculated and can be used to distingui...

The modified sigmoidal bacteria growth functions (the Gompertz, logistic, and Richards) were used to evaluate the methane production process kinetics of agricultural wastes. mesophilic anaerobic co-digestion experiments conducted with various wastes as feedstocks, including cow manure, corn straw, grape leaves, vines, wine residue, strawberry tomato leaves. results showed that manure other incr...

This study compared the use of five different models to describe the growth from birth to 20 weeks of age of kids from both genders of nondescript goats. Fifty nine (59) nondescript kids were weighed weekly at the university of Maiduguri livestock teaching and research farm, Nigeria and the live weights were modeled. Biologically relevant variables were estimated for each kid from the Logistic,...

[1] Inverse solutions of the Richards equation, either for evaluating soil hydraulic parameters from experimental data or for optimizing irrigation parameters, require considerable numerical effort. We present an alternative methodology based on self-organizing maps (SOM) which was further developed in order to include multiple input-output (MIO) relationships. The resulting SOM-MIO network app...

The macroscopic behaviour of air and water in porous media is often approximated using Richards' equation for the fluid saturation and pressure. This equation is parametrized by the hydraulic conductivity and water release curve. In this paper, we use homogenization to derive a general model for saturation and pressure in porous media based on an underlying periodic porous structure. Under an a...

The recent economic growth in developing countries like India has resulted in an intense increase of vehicle ownership and use, as witnessed by severe traffic congestion and bottlenecks during peak hours in most of the metropolitan cities. Intelligent Transportation Systems (ITS) aim to reduce traffic congestion by adopting various strategies such as providing pre-trip and en-route traffic info...