Rafida Salsabilatul Nadzifah, Tjang Daniel Chandra
This study develops a mathematical model called SEIR REI to explore the spread of dengue fever caused by the Aedes aegypti mosquito. This model is chosen since it is a well-known model to describe the spread od the disease. In this model, the mosquito population is divided into two phases: the aquatic phase (eggs, larvae, and pupae) and the adult phase (adult mosquitoes). Meanwhile, the human population is categorized into five compartments: susceptible, exposed, symptomatic infected, asymptomatic infected, and recovered. The resulting mathematical model is a system of non-linear differential equations. Based on the assumptions made, two equilibrium points are derived: the disease-free equilibrium and the endemic equilibrium. The stability of the disease-free equilibrium and the basic reproduction number (R 0) are analyzed. The disease-free equilibrium will be locally asymptotically stable when R 0 < 1, indicating that dengue fever will eventually disappear over time. Conversely, the endemic equilibrium occurs when R 0 > 1. This study also conducts a sensitivity analysis to identify the parameters that most significantly impact the disease dynamics. The analysis reveals that the mosquito death rate due to fogging and the mosquito biting rate are the most influential parameters in the model. © 2025 American Institute of Physics Inc.. All rights reserved.
Department of Mathematics, State University of Malang, Jl. Semarang 5, Malang, 65145, Indonesia
