MODELOS BÁSICOS DE DINÂMICA POPULACIONAL NA PROPAGAÇÃO DE EPIDEMIAS
Palavras-chave:
Crescimento Populacional. Modelo Compartimental SIR.COVID-19.
Resumo
Modelagem matemática é uma ferramenta crucial para caracterizar o comportamento de doenças infecciosas ao longo do tempo. Neste trabalho apresentamos alguns modelos básicos para o acompanhamento ao longo do tempo de epidemias. Destacamos a aplicação de um modelo compartimental para a determinação de indicadores relativos à propagação de doenças. A linguagem R é utilizada para construir representações gráficas e soluções numéricas de equações.
Referências
ANDERSON, Roy M. The impact of vaccination on the epidemiology of infectious diseases. In: The vaccine book. Academic Press, 2016. p. 3-31.
BRAUER, Fred. Mathematical epidemiology: Past, present, and future. Infectious Disease Modelling, v. 2, n. 2, p. 113-127, 2017.
CHASNOV, Jeffrey R. et al. Mathematical biology lecture notes for MATH 4333. 2009.
COLLINS, B. Dynamic modeling of COVID-19. 2020.
ENDERLE, John D. Compartmental modeling. In: Introduction to biomedical engineering. Academic Press, 2012. p. 359-445.
GARFINKEL, Alan; SHEVTSOV, Jane; GUO, Guo. Modeling Life: The Mathematics of Biological Systems. 2017.
KERMACK, William Ogilvy; MCKENDRICK, Anderson G. A contribution to the mathematical theory of epidemics. Proceedings of the royal society of london. Series A, Containing papers of a mathematical and physical character, v. 115, n. 772, p. 700-721, 1927.
KERMACK, William Ogilvy; MCKENDRICK, Anderson G. Contributions to the mathematical theory of epidemics. II.—The problem of endemicity. Proceedings of the Royal Society of London. Series A, containing papers of a mathematical and physical character, v. 138, n. 834, p. 55-83, 1932.
KERMACK, William Ogilvy; MCKENDRICK, Anderson G. Contributions to the mathematical theory of epidemics. III.—Further studies of the problem of endemicity. Proceedings of the Royal Society of London. Series A, Containing Papers of a Mathematical and Physical Character, v. 141, n. 843, p. 94-122, 1933.
MURRAY, James Dickson. Mathematical biology: I. An introduction. Springer. 2002.
ORGANIZAÇÃO MUNDIAL DE SAÚDE. Estimating mortality from COVID-19. 2020.
SINGH, Meenesh R. et al. Mechanistic insights into electrochemical reduction of CO2 over Ag using density functional theory and transport models. Proceedings of the National Academy of Sciences, v. 114, n. 42, p. E8812-E8821, 2017.
SULSKY, D. Using real data in an SIR model. 2012.
BRAUER, Fred. Mathematical epidemiology: Past, present, and future. Infectious Disease Modelling, v. 2, n. 2, p. 113-127, 2017.
CHASNOV, Jeffrey R. et al. Mathematical biology lecture notes for MATH 4333. 2009.
COLLINS, B. Dynamic modeling of COVID-19. 2020.
ENDERLE, John D. Compartmental modeling. In: Introduction to biomedical engineering. Academic Press, 2012. p. 359-445.
GARFINKEL, Alan; SHEVTSOV, Jane; GUO, Guo. Modeling Life: The Mathematics of Biological Systems. 2017.
KERMACK, William Ogilvy; MCKENDRICK, Anderson G. A contribution to the mathematical theory of epidemics. Proceedings of the royal society of london. Series A, Containing papers of a mathematical and physical character, v. 115, n. 772, p. 700-721, 1927.
KERMACK, William Ogilvy; MCKENDRICK, Anderson G. Contributions to the mathematical theory of epidemics. II.—The problem of endemicity. Proceedings of the Royal Society of London. Series A, containing papers of a mathematical and physical character, v. 138, n. 834, p. 55-83, 1932.
KERMACK, William Ogilvy; MCKENDRICK, Anderson G. Contributions to the mathematical theory of epidemics. III.—Further studies of the problem of endemicity. Proceedings of the Royal Society of London. Series A, Containing Papers of a Mathematical and Physical Character, v. 141, n. 843, p. 94-122, 1933.
MURRAY, James Dickson. Mathematical biology: I. An introduction. Springer. 2002.
ORGANIZAÇÃO MUNDIAL DE SAÚDE. Estimating mortality from COVID-19. 2020.
SINGH, Meenesh R. et al. Mechanistic insights into electrochemical reduction of CO2 over Ag using density functional theory and transport models. Proceedings of the National Academy of Sciences, v. 114, n. 42, p. E8812-E8821, 2017.
SULSKY, D. Using real data in an SIR model. 2012.
Publicado
2023-02-23
Seção
Artigos
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