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Forecasting the rate of cumulative cases of COVID-19 infection in Northeast Brazil: a Boltzmann function-based
Géssyca Cavalcante de Melo1,2, Renato Américo de Araújo Neto3, Karina Conceição Gomes Machado de Araújo2
1Universidade Estadual de Ciências da Saúde de Alagoas, Maceió, Brasil.
Insights
Northeast Brazil faces a high COVID-19 death rate. This study forecasts a substantial increase in cumulative cases by July 31, especially in Ceará, Sergipe, and Paraíba, necessitating urgent public health planning.
Area of Science:
- Epidemiology
- Public Health
- Mathematical Modeling
Background:
- Northeast Brazil exhibits a significantly higher COVID-19 death rate than the national average.
- This necessitates regional prognosis for effective control measures and healthcare system preservation.
Purpose of the Study:
- To estimate the potential cumulative cases of COVID-19 in Northeast Brazil over the subsequent three months.
- To inform public health strategies and prevent healthcare system collapse.
Main Methods:
- Utilized confirmed COVID-19 case data from March 8 to April 28, 2020, sourced from Brazil's official reporting website.
- Applied the Boltzmann function for data simulation and forecasting across different states.
- Achieved high model fit with R² values near 0.999.
Main Results:
- As of April 28, 20,665 COVID-19 cases were confirmed in the region.
- Ceará reported the highest accumulated cases per 100,000 inhabitants (75.75), followed by Pernambuco.
- Forecasts indicate a dramatic increase in cumulative cases by July 31 for Ceará, Sergipe, and Paraíba.
Conclusions:
- A substantial rise in COVID-19 cases per 100,000 inhabitants is projected for Northeast Brazil within three months.
- The Boltzmann function is an effective tool for epidemiological forecasting to guide public health interventions.
- Proactive planning is crucial to manage the escalating COVID-19 situation in the region.
Abstract:
The COVID-19 death rate in Northeast Brazil is much higher when compared to the national average, demanding a study into the prognosis of the region for planning control measures and preventing the collapse of the health care system. We estimated the potential total cumulative cases of COVID-19 in the region for the next three months. Our study included all confirmed cases, from March 8 until April 28, 2020, collected from the official website that reports the situation of COVID-19 infections in Brazil. The Boltzmann function was applied to a data simulation for each set of data regarding different states. The model data were well fitted, with R2 values close to 0.999. Up to April 28, 20,665 cases were confirmed in the region. The state of Ceará has the highest rate of accumulated cases per 100,000 inhabitants (75.75), followed by Pernambuco. We estimated that the states of Ceará, Sergipe and Paraíba will experience a dramatic increase in the rate of cumulative cases until July 31. Maranhão, Pernambuco, Rio Grande do Norte and Piauí showed a more discreet increase in the model. For Bahia and Alagoas, a 4.7 and 6.6-fold increase in the rate was estimated, respectively. We estimate a substantial increase in the rate of cumulative cases per 100,000 inhabitants in the region within three months, especially for Ceará, Sergipe and Paraíba. The Boltzmann function proved to be a simple tool for epidemiological forecasting that can help planning the measures to contain COVID-19.
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