Open AccessHomotopy Perturbation Method for Mathematical Modelling of Dengue Fever
Author(s) -
Sekar Rekha,
P. Balaganesan,
J. Renuka
Publication year - 2021
Publication title -
journal of physics. conference series
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.21
H-Index - 85
eISSN - 1742-6596
pISSN - 1742-6588
DOI - 10.1088/1742-6596/1724/1/012056
Subject(s) - dengue fever , homotopy perturbation method , epidemic model , nonlinear system , population , perturbation (astronomy) , mathematics , mathematical model , viral infection , homotopy , virology , medicine , physics , statistics , environmental health , pure mathematics , virus , quantum mechanics
Dengue fever is a viral mosquito-transmitted infection that has become a major international infection in recent years. The leading cause of disease and death in tropical and sub-tropical regions is a public health concern. Models from mathematical epidemiology, such as the classical SIR-model and its variants, are used to characterize the spread of Dengue in a given population. The mathematical modelling of Dengue Fever is formulated into a first-order nonlinear differential equation. Homotopy Perturbation Method approaches the analytical solution of the model (HPM), and also simulation results are identified. Finally, the analytical solutions, simulation results are compared, and satisfactory agreement is noted.