The LABPYTHON: Malthus and Verhulst models applied to the study of population dynamics in the city of Rio Grande

Authors

Keywords:

Python, Numerical Methods, Population Dynamics

Abstract

This work presents solutions to the population growth problem applied to the municipality of Rio Grande -
RS, between the years 2010 and 2012, formulated by the population dynamics models of Malthus and Verhulst. The
Jupyter Notebook platform is employed, along with the Python programming language and its libraries SymPy,
NumPy, and Matplotlib, to implement the numerical solution methods of Euler, Modified Euler, and 4th-order
Runge-Kutta, display, and document the obtained results. Real data for the years present in the problem formulation
are compared with the results obtained by the population models. Additionally, an estimate is made for the year
2022, which is compared to the data provided by the Brazilian Institute of Geography and Statistics (IBGE) for the
same year. The presented results are satisfactory, with errors below 4%.

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References

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Published

2024-01-31

How to Cite

Biller, J., Rodriguez, B., & Poffal, C. (2024). The LABPYTHON: Malthus and Verhulst models applied to the study of population dynamics in the city of Rio Grande. Revista Interdisciplinar De Pesquisa Em Engenharia, 9(2), 99–108. Retrieved from https://periodicos.unb.br/index.php/ripe/article/view/52304

Issue

Vol. 9 No. 2 (2023): Revista Interdisciplinar de Pesquisa em Engenharia

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Artigos

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