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Non-communicable diseases like diabetes, obesity and certain forms of cancer have been increasing in many countries at alarming levels. A difficulty in the conception of policies to reverse these trends is the identification of the drivers…

Physics and Society · Physics 2016-03-29 Lazaros K. Gallos , Pablo Barttfeld , Shlomo Havlin , Mariano Sigman , Hernan A. Makse

One of the themes that have been approached more and more within the specialised literature is being represented by economic cycles. The analysis of these is very useful in the long term predictions, in finding solutions for the economic…

General Economics · Economics 2025-01-15 Cristina Tanasescu , Amelia Bucur , Camelia Oprean-Stan

Recently, in order to explore the mechanism behind wealth or income distribution, several models have been proposed by applying principles of statistical mechanics. These models share some characteristics, such as consisting of a group of…

Physics and Society · Physics 2008-12-02 Yougui Wang , Ning Ding , Ning Xi

Globalization processes interweave economic structures at a worldwide scale, trade playing a central role as one of the elemental channels of interaction among countries. Despite the significance of such phenomena, measuring economic…

Physics and Society · Physics 2008-12-02 M. Angeles Serrano

We consider the sectoral composition of a country's GDP, i.e. the partitioning into agrarian, industrial, and service sectors. Exploring a simple system of differential equations we characterize the transfer of GDP shares between the…

General Finance · Quantitative Finance 2014-09-15 Raphael Lutz , Michael Spies , Dominik E. Reusser , Jürgen P. Kropp , Diego Rybski

A model for economic behavior, under heterogeneous spatial economic conditions is developed. The role of selection pressure in a Bak-Sneppen-like dynamics with entity diffusion on a lattice is studied by Monte-Carlo simulation taking into…

Physics and Society · Physics 2015-06-26 Marcel Ausloos , Paulette Clippe , Andrzej Pekalski

A dynamical model of capital exchange is introduced in which a specified amount of capital is exchanged between two individuals when they meet. The resulting time dependent wealth distributions are determined for a variety of exchange…

Statistical Mechanics · Physics 2009-10-30 S. Ispolatov , P. L. Krapivsky , S. Redner

Geographic borders are not only essential for the effective functioning of government, the distribution of administrative responsibilities and the allocation of public resources, they also influence the interregional flow of information,…

Physics and Society · Physics 2011-03-30 C. Thiemann , F. Theis , D. Grady , R. Brune , D. Brockmann

The interplay between space and evolution is an important issue in population dynamics, that is in particular crucial in the emergence of polymorphism and spatial patterns. Recently, biological studies suggest that invasion and evolution…

Probability · Mathematics 2016-08-16 Nicolas Champagnat , Sylvie Méléard

We investigate the dynamics of growth models in terms of dynamical system theory. We analyse some forms of knowledge and its influence on economic growth. We assume that the rate of change of knowledge depends on both the rate of change of…

Physics and Society · Physics 2008-12-02 Marek Szydlowski , Adam Krawiec

A model of open economics composed of producers and speculators is investigated by numerical simulations. The capital flows from the environment to the producers and from them to the speculators. The price fluctuations are suppressed by the…

Statistical Mechanics · Physics 2009-10-31 Frantisek Slanina , Yi-Cheng Zhang

The current paper is to investigate the numerical approximation of logistic type chemotaxis models in one space dimension with a free boundary. Such a model with a free boundary describes the spreading of a new or invasive species subject…

Numerical Analysis · Mathematics 2019-07-16 Lei Yang , Lianzhang Bao

Human mobility is a key factor in spatial disease dynamics and related phenomena. In computational models host mobility is typically modelled by diffusion in space or on metapolulation networks. Alternatively, an effective force of…

Physics and Society · Physics 2012-03-07 Vitaly Belik , Theo Geisel , Dirk Brockmann

Knowing and modelling the migration phenomena and especially the social and economic consequences have a theoretical and practical importance, being related to their consequences for development, economic progress (or as appropriate,…

General Finance · Quantitative Finance 2012-02-07 Anca Gheorghiu , Ion Spanulescu

A key problem in modelling the evolution dynamics of infectious diseases is the mathematical representation of the mechanism of transmission of the contagion. Models with a finite number of subpopulations can be described via systems of…

Optimization and Control · Mathematics 2017-03-09 Sebastian Anita , Vincenzo Capasso

This paper presents a modeling framework---mathematical model and computational framework---to study the response of a plastic material due to the presence and transport of a chemical species in the host material. Such a modeling framework…

Numerical Analysis · Mathematics 2020-11-16 M. S. Joshaghani , K. B. Nakshatrala

Does a high dispersal rate provide a competitive advantage when risking competitive exclusion? To this day, the theoretical literature cannot answer this question in full generality. The present paper focuses on the simplest mathematical…

Analysis of PDEs · Mathematics 2020-02-24 Léo Girardin

We develop a Schumpeterian quality-ladder spatial model in which innovation arrivals depend on regional knowledge spillovers. A parsimonious reduced-form diffusion mechanism induces the convergence of regions' average distance to the global…

Theoretical Economics · Economics 2025-12-09 José M. Gaspar , Minoru Osawa

Population growth is in general constrained by food production, which in turn depends on the access to water resources. At a country level, some populations use more water than they control because of their ability to import food and the…

Physics and Society · Physics 2013-01-30 Samir Suweis , Andrea Rinaldo , Amos Maritan , Paolo D'Odorico

Economic growth is often associated with diversification of economic activities. Making a product in a country is dependent on having, and acquiring, the capabilities needed to make the product, making the process path-dependent. We derive…

Physics and Society · Physics 2018-09-05 Neave O'Clery , Muhammed A. Yildirim , Ricardo Hausmann