We investigate the transport coefficients for a dilute reactive mixture of four constituents undergoing a chemical reaction of type A + B = C + D, which is described by the Simple Reacting Spheres (SRS) kinetic model. The dynamics of the SRS model is very interesting and relatively simple. Both reactive and inert collisions obey to the hard spheres potential and the collisional operator incorporates a “correcti...
This paper presents a new kinetic model with time-dependent proliferative/destructive parameters, where the activity variable of the system attains its values in a discrete real subset. Therefore, a system of nonautonomous nonlinear ordinary differential equations is gained, with the related Cauchy problem. A first result of local existence and uniqueness of positive and bounded solution is proved. Then, the po...
We study the equilibrium states of a non-linear kinetic system of integro-partial differential equations describing the well known relapsing-remitting stages observed in many chronic autoimmune diseases. The kinetic system describes the immune system at the cellular level in terms of conservative, proliferative and destructive interactions between population of cells, with the addition of natural death rates an...
Promoting pedestrianization in cities and other urban areas is a revitalization strategy to enhance sustainability and liveability in these regions. It improves urban mobility and contributes to the reduction of the environmental impact of transportation. In this paper, we propose the use of a mathematical model for a human-urban system to analyse a case study of ecological management concerning pedestrianizati...
In this work, a generic solution for parking management is presented. The solution uses artificial intelligence and remote data reading to implement a detection system, a server, a mobile phone application and a back office. With the mobile phone application, users can retrieve information about available parking spaces, specify their preferences and destination on the map, and receive local parking suggestions...
With the increasing number of vehicles, conventional traffic lights with fixed times are unable to prevent traffic congestion at intersections . In this work, an intelligent traffic simulator is developed based on a Supervised Learning approach using artificial neural networks. The simulator makes decisions about which traffic light should be activated to minimise waiting times and maximise traffic flow, result...
Today resilience paradigm is shared by both academic and political debates, and it is gradually being implemented into plans, programmes, and project's initiatives. In this context, wine regions, particularly those designated as UNESCO sites, show their robustness and vulnerabilities as Socio-Ecological Systems. The climate change impact is increasing the exposure of their aesthetic, cultural, economic, natural...
Many autoimmune diseases are chronic in nature, so that in general patients experience periods of recurrence and remission of the symptoms characterizing their specific autoimmune ailment. In order to describe this very important feature of autoimmunity, we construct a mathematical model of kinetic type describing the immune system cellular interactions in the context of autoimmunity exhibiting recurrent dynami...
In this work, we investigate the role of the human factor in the resilience of environmental systems. To this end, a coupled human landscape model is proposed for a network of Landscape Units (LUs), where a system of ODEs endows each LU for the time evolution of two environmental variables (fraction of green areas and production of bio-energy) and one human variable (fraction of environmentalists in the populat...
The principal goal of the present paper is to study rarefied relativistic polyatomic gases in both Minkowski spacetime and Robertson-Walker spacetime. The field equations are determined from a recently developed generalized relativistic BGK-type model for polyatomic gases. This model is applied to both Minkowski spacetime and at and non at Robertson-Walker spacetimes. The equation of state for the non-equilibri...