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Transport coefficients for the simple reacting spheres kinetic model II: Therma...

Polewczak, Jacek; Silva, Adriano W.; Soares, A. J.

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...


A kinetic model with time-dependent proliferative/destructive rates

Menale, Marco; Soares, A. J.

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...


Equilibrium of a kinetic model of oscillating patterns for chronic autoimmune d...

Oliveira, João Miguel; Ramos, M. P. Machado; Ribeiro, Carolina; Soares, A. J.

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...


An urban system mathematical approach with human factor: The case of pedestrian...

Soares, A. J.; Tosato, Giorgio

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...


Improving public parking by using artificial intelligence

Albuquerque, L.; Coelho, C.; Costa, M. Fernanda P.; Ferrás, L. L.; Soares, A. J.

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...


Optimization of traffic lights using supervised learning

Carrilho, D. S.; Coelho, C.; Costa, M. Fernanda P.; Ferrás, L. L.; Soares, A. J.

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...


Scenario building model to support the resilience planning of winemaking region...

Assumma, Vanessa; Bottero, Marta; Angelis, Elena De; Lourenço, Júlia M.; Monaco, Roberto; Soares, A. J.

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...


Mathematical modelling of oscillating patterns for chronic autoimmune diseases

Della Marca, Rossella; Ramos, M. P. Machado; Ribeiro, Carolina; Soares, A. J.

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...


Human-induced oscillations in a network landscape model

Marca, Rossella Della; Groppi, Maria; Soares, A. J.

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...


Rarefied relativistic polyatomic gases in a gravitational field

Oliveira, J. M. S.; Soares, A. J.; Ramos, M. P. Machado

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...


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