Ordinary Differential Equations with an Approach in the Numerical Study of Malaria: SIR Model

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Anastácio Pascoal Epandi Canhanga
Anastácio Pascoal Epandi Canhanga

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Ordinary Differential Equations with an Approach in the Numerical Study of Malaria: SIR Model

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Abstract

The present investigation aims to numerically predict cases of infections and recoveries from malaria in the city of Cuito, for which differential equations were use with which it was possible to study the behavior of the variables that affect the dynamics of malaria. Based on the infection and recovery variables, as well as the constant rates of infections, recoveries and deaths, analyzing the links betweens the same variables, the SIR endemic model was chosen, which allowed achieving the objective announced here. The study was based on data from a period when cases of this disease were already slowing down. The Runge-Kutta method was used to predict numbers of malaria nos. The results showed exctly what was expected to be the decrease in cases in this period an not only, the power of the model used was verified, as well as its usefulness.

References

10 Cites in Article
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  2. Andréia Gomes,Rodrigo Vitorino,Anielle Costa,Eduardo Mendonça,Maria Oliveira,Rodrigo Siqueira-Batista (2011). Malária grave por Plasmodium falciparum.
  3. Efraín Domínguez,Felipe Ardila,Santiago Bustamante (2010). System Solver: an open source tool for mathematically modelling dynamical systems.
  4. Alan Cowman,Julie Healer,Danushka Marapana,Kevin Marsh (2016). Malaria: Biology and Disease.
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  8. Herbert Hethcote (2000). The Mathematics of Infectious Diseases.
  9. W Kermack,A Mckendrick (1991). Contributions to the mathematical theory of epidemics—I.
  10. M Ruggiero,V Da,R Lopes (1996). Cálculo Numérico: Aspectos teóricos e computacionais.

Funding

No external funding was declared for this work.

Conflict of Interest

The authors declare no conflict of interest.

Ethical Approval

No ethics committee approval was required for this article type.

Data Availability

Not applicable for this article.

How to Cite This Article

Anastácio Pascoal Epandi Canhanga. 2026. \u201cOrdinary Differential Equations with an Approach in the Numerical Study of Malaria: SIR Model\u201d. Global Journal of Science Frontier Research - F: Mathematics & Decision GJSFR-F Volume 23 (GJSFR Volume 23 Issue F2): .

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Issue Cover
GJSFR Volume 23 Issue F2
Pg. 23- 30
Journal Specifications

Crossref Journal DOI 10.17406/GJSFR

Print ISSN 0975-5896

e-ISSN 2249-4626

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GJSFR-F Classification: MSC 2010: 12H20
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v1.2

Issue date

April 13, 2023

Language
es
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The present investigation aims to numerically predict cases of infections and recoveries from malaria in the city of Cuito, for which differential equations were use with which it was possible to study the behavior of the variables that affect the dynamics of malaria. Based on the infection and recovery variables, as well as the constant rates of infections, recoveries and deaths, analyzing the links betweens the same variables, the SIR endemic model was chosen, which allowed achieving the objective announced here. The study was based on data from a period when cases of this disease were already slowing down. The Runge-Kutta method was used to predict numbers of malaria nos. The results showed exctly what was expected to be the decrease in cases in this period an not only, the power of the model used was verified, as well as its usefulness.

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Ordinary Differential Equations with an Approach in the Numerical Study of Malaria: SIR Model

Anastácio Pascoal Epandi Canhanga
Anastácio Pascoal Epandi Canhanga

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