A compartmental mathematical model for the study of mpox in Brazil
DOI:
https://doi.org/10.5902/2179460X90628Keywords:
Epidemiological model, SEIR, Mpox, Vaccine, InterdisciplinaryAbstract
This work presents the study of a SEIR-type epidemiological model to analyze mpox data in Brazil. The model considered is solved by the fourth-order and four-stage Runge-Kutta method and the curves of infected individuals over time are estimated. The model is validated with data from an epidemic outbreak that occurred in 1972 in Kosovo. Using data from the mpox virus outbreak in Brazil in 2022, it was found that the model simulation had the same behavior as the outbreak that occurred in Kosovo.
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References
Agˆencia Brasil (2023). OMS declara fim da emergˆencia em sa´ude por mpox. https://agenciabrasil.ebc.com.br/saude/noticia/2023-05/oms-declara-fim-da-emergencia-em-saude-por-mpox.
Centro de Operç˜oes de Emergˆencias (2023). Boletim epidemiol´ogico de mpox nº 20 (COE). https://www.gov.br/saude/pt-br/centrais-de-conteudo/publicacoes/boletins/epidemiologicos/variola-dos-macacos/
boletim-epidemiologico-de-monkeypox-no-20-coe/view.
Cori, A., Ferguson, N. M., Fraser, C., & Cauchemez, S. (2013). A new framework and software to estimate time-varying reproduction numbers during epidemics.
American Journal of Epidemiology, 178(9):1505–1512.
Fenner, F., Henderson, D. A., Arita, I., JeZek, Z., & Ladnyi, I. (1988). Smallpox and its Eradication. World Health Organization.
Franz, D. R. (1997). Reconhecimento cl´ınico e manejo de pacientes expostos a agentes de guerra biol´ogica. The Journal of Infectious Diseases, 278(5):399–411.
G1 (2023). Cidade de SP começa a vacinar nesta quarta-feira contra mpox adultos com mais risco de desenvolver a doença. https://g1.globo.com/sp/sao-paulo/noticia/2023/03/22/cidade-de-sp-comeca-a-vacinar-nesta-quarta-feira-
contra-mpox-adultos-com-mais-risco-de-desenvolver-a-doenca.ghtml.
Hethcote, H. W. (2000). The mathematics of infectious diseases. Mathematical Biosciences, 42(4):599–653.
Islam, M. A. I., Mubassir, M., Paul, A. K., & Shanta, S. S. (2024). A mathematical model for understanding and controlling monkeypox transmission dynamics in the usa and its implications for future epidemic management. Decoding Infection and Transmission, 2:10031.
Mack, T. M. (1972). Smallpox in europe, 1950–1971. The Journal of Infectious Diseases, 125(2):161–169.
Mack, T. M., Thomas, D. B., Ali, A., & Khan, M. M. (1972). Epidemiology of smallpox in west pakistan: I. acquired immunity and the distribution of disease. American Journal of Epidemiology, 95(2):157–168.
Mar´ın-Machuca, O., Ortiz-Guizado, J. I., Alvarado-Zambrano, F. A., Candela-D´ıaz, J. E., Chinchay-Barrag´an, C. E., Alvarado-Zambrano, R. A., Apaza-Urbina, M. A., Mar´ın-S´anchez, U., Rueda, M. P. R., & Castillo-Pe˜na, A. (2024). Comparaci´on estad´ıstica de la infecci´on por la viruela del mono (mpox) entre norteam´erica y sudam´erica. Biotempo, 21(1):11–21.
Minist´erio da Sa´ude (2022). Brasil confirma primeiro caso de monkeypox. https://www.gov.br/saude/pt-br/canais-de-atendimento/sala-de-imprensa/notas-a-imprensa/2022/brasil-confirma-primeiro-caso-de-monkeypox.
Molla, J., Sekkak, I., Ortiz, A. M., Moyles, I., & Nasri, B. (2023). Mathematical modeling of mpox: A scoping review. One Health, 16:100540.
Organização Pan-Americana da Sa´ude (2023). Organizac¸ ˜ao Mundial da Sa´ude declara fim da Emergˆencia de Sa´ude P´ublica de Importˆancia Internacional.
Pal, M., Mengstie, F., & Kandi, V. (2017). Epidemiology, diagnosis, and control of monkeypox disease: A comprehensive review. American Journal of Infectious Diseases and Microbiology, 5(2):94–99.
Santos, A. M. O. (2023). Aplicaç˜ao de um modelo matem´atico seir com quarentena e vacinaç˜ao para o estudo da mpox no brasil. [Dissertação de Mestrado, Programa de P´os-Graduação em Modelagem Matem´atica, Universidade Federal de Pelotas]. Reposit´orio Institucional da Universidade Federal de Pelotas (Guaiaca).
Thompson, R. N., Stockwin, J. E., van Gaalen, R. D., Polonsky, J. A., Kamvar, Z. N., Demarsh, P. A., Dahlqwist, E., Li, S., Miguel, E., Jombart, T., Lessler, J., Cauchemez, S., & Cori, A. (2019). Improved inference of time-varying reproduction numbers during infectious disease outbreaks. Epidemics, 29:100356.
World Health Organization (2022). Multi-country outbreak of mpox.
World Health Organization (2024). Surveillance, case investigation and contact tracing for mpox (monkeypox): Interim guidance, 20 March 2024. https://www.who.int/publications/i/item/WHO-MPX-Surveillance-2024.1.
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