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This research deals with the mathematical modeling of the physical capital diffusion through the borders of the countries. The physical capital is considered an important variable for the economic growth of a country. Here we use an…

General Finance · Quantitative Finance 2015-04-20 Gilberto González-Parra , Benito Chen-Charpentier , Abraham J. Arenas , Miguel Diaz-Rodriguez

In this study, we analyze the relationship between human population growth and economic dynamics. To do so, we present a modified version of the Verhulst model and the Solow model, which together simulate population dynamics and the role of…

General Economics · Economics 2023-08-17 Iram Gleriaa , Sergio Da Silvab , Leon Brenig , Tarcısio M. Rocha Filho , Annibal Figueiredo

We develop a tractable macroeconomic model that captures dynamic behaviors across multiple timescales, including business cycles. The model is anchored in a dynamic capital demand framework reflecting an interactions-based process whereby…

General Economics · Economics 2022-09-08 Karl Naumann-Woleske , Michael Benzaquen , Maxim Gusev , Dimitri Kroujiline

The dynamics of economies and infectious disease are inexorably linked: economic well-being influences health (sanitation, nutrition, treatment capacity, etc.) and health influences economic well-being (labor productivity lost to sickness…

Physics and Society · Physics 2014-03-06 Georg M. Goerg , Oscar Patterson-Lomba , Laurent Hébert-Dufresne , Benjamin M. Althouse

The Solow-Swan equation is a foundational model in the evolution of modern economic growth theory. It offers key insights into the long-term behaviour of capital accumulation and output. Since its inception, the model has served as a…

Functional Analysis · Mathematics 2025-08-12 MO Aibinu , KJ Duffy , S Moyo

We propose in this work a kinetic wealth-exchange model of economic growth by introducing saving as a non consumed fraction of production. In this new model, which starts also from microeconomic arguments, it is found that economic…

General Finance · Quantitative Finance 2019-03-07 D. S. Quevedo , C. J. Quimbay

One of the most significant findings in the study of spatial Solow-Swan models is the emergence of economic agglomeration, in which economic activities concentrate in specific regions. Such agglomeration provides a fundamental mechanism…

Analysis of PDEs · Mathematics 2025-10-23 Fanze Kong , Jiayi Sun , Shuangquan Xie

In this paper, I endeavour to construct a new model, by extending the classic exogenous economic growth model by including a measurement which tries to explain and quantify the size of technological innovation ( A ) endogenously. I do not…

Econometrics · Economics 2018-05-03 Murad Kasim

This study provides the theoretical framework and empirical model for productivity growth evaluations in agricultural sector as one of the most important sectors in Iran's economic development plan. We use the Solow residual model to…

Econometrics · Economics 2018-06-13 Morteza Tahamipour , Mina Mahmoudi

In the context of a large class of stochastic processes used to describe the dynamics of wealth growth, we prove a set of inequalities establishing necessary and sufficient conditions in order to avoid infinite wealth concentration. These…

Theoretical Economics · Economics 2023-03-02 Valerio Astuti

We propose and study a stochastic capital-labour model with logistic growth function. First, we show that the model has a unique positive global solution. Then, using the Lyapunov analysis method, we obtain conditions for the extinction of…

Probability · Mathematics 2022-10-03 Houssine Zine , Jaouad Danane , Delfim F. M. Torres

For the Ramsey model of economic growth, which describes the optimal allocation of consumption and saving over time, we assume the population dynamics to follow the Allee effect. The so-called Allee threshold separates two regimes from each…

Optimization and Control · Mathematics 2025-09-19 Zihan Wang , Vladimir Shikhman

The transition of several East and Central European countries and the countries of the Former Soviet Union from the socialist economic system to the capitalist one is studied. A recently developed microeconomic model for the personal income…

General Finance · Quantitative Finance 2008-12-02 Ivan O. Kitov

Economic growth depends on capital investments and on investments in education and innovation. The model introduced here will specifiy aggregate output as determined by aggregate supply of capital and education investment. After formulating…

Dynamical Systems · Mathematics 2025-12-10 Ferdinand Verhulst

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

The aggregate Cobb-Douglas production function stands as a central element in the renowned Solow-Swan model in economics, providing a crucial theoretical framework for comprehending the determinants of economic growth. This model not only…

Theoretical Economics · Economics 2025-06-13 Timothy F. Power , Roman G. Smirnov

It is widely assumed that increases in economic productivity necessarily lead to economic growth. In this paper, it is shown that this is not always the case. An idealized model of an economy is presented in which a new technology allows…

General Economics · Economics 2024-11-26 Casey O. Barkan

We study an agent-based model of evolution of wealth distribution in a macro-economic system. The evolution is driven by multiplicative stochastic fluctuations governed by the law of proportionate growth and interactions between agents. We…

Physics and Society · Physics 2019-11-22 Zdzislaw Burda , Pawel Wojcieszak , Konrad Zuchniak

All economies require physical resource consumption to grow and maintain their structure. The modern economy is additionally characterized by private debt. The Human and Resources with MONEY (HARMONEY) economic growth model links these…

Theoretical Economics · Economics 2021-06-07 Carey W. King

We consider a government that aims at reducing the debt-to-gross domestic product (GDP) ratio of a country. The government observes the level of the debt-to-GDP ratio and an indicator of the state of the economy, but does not directly…

Optimization and Control · Mathematics 2019-01-29 Giorgia Callegaro , Claudia Ceci , Giorgio Ferrari
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