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A FINITE ELEMENT APPROACH FOR THE SIMULATION AND VERIFICATION OF AN EPIDEMIOLOGICAL MODEL FOR DENGUE

Amanda Maria C. Cabral & E.F. Fontes

Pesquisa Operacional2025https://doi.org/10.1590/0101-7438.2025.045.00299113article
AJG 1
Weight
0.50

What the paper says

This research describes a fundamental step in the study of the vital dynamics of dengue in the municipality of Seropédica, Rio de Janeiro: the development and verification of the Finite Element Method (FEM), combined with the Crank-Nicolson method and the Newton method. The simulation is described by the MSIR (Mosquito-Susceptible-Infected-Recovered) model, characterized by a system of nonlinear partial differential equations. The implementation and verification of the problem consisted of constructing a test problem with a known analytical solution. It was successfully verified, demonstrating that the maximum absolute error gradually decreases with the refinement of the spatial mesh, reaching an order of 10-4 to 10-6, depending on the variable.

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https://doi.org/https://doi.org/10.1590/0101-7438.2025.045.00299113

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@article{amanda2025,
  title        = {{A FINITE ELEMENT APPROACH FOR THE SIMULATION AND VERIFICATION OF AN EPIDEMIOLOGICAL MODEL FOR DENGUE}},
  author       = {Amanda Maria C. Cabral & E.F. Fontes},
  journal      = {Pesquisa Operacional},
  year         = {2025},
  doi          = {https://doi.org/https://doi.org/10.1590/0101-7438.2025.045.00299113},
}

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Evidence weight

0.50

Balanced mode · F 0.40 / M 0.15 / V 0.05 / R 0.40

F · citation impact0.50 × 0.4 = 0.20
M · momentum0.50 × 0.15 = 0.07
V · venue signal0.50 × 0.05 = 0.03
R · text relevance †0.50 × 0.4 = 0.20

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