An SEQIJR Epidemic Model: Determination of the Basic Reproduction Number and Numerical Simulation of Disease Dynamics
DOI:
https://doi.org/10.24252/msa.v13i2.62813Keywords:
SEQIJR, Basic Reproduction Number, Next Generation Matrix, disease transmissionAbstract
The aim of this study is to construct an SEQIJR model for infectious disease transmission, determine its basic reproduction number, and perform numerical simulations to analyze the model’s dynamics. The model incorporates quarantine and isolation as explicit compartments, while the basic reproduction number is derived using the next generation matrix method. Numerical simulations are carried out using hypothetical initial conditions and parameter values chosen to be consistent with the fundamental assumptions of the model. The analysis yields an explicit expression for the basic reproduction number. The simulation results provide insights into the temporal progression of the disease and show that the latent compartment exhibits a rapid increase during the early stages of the outbreak. These findings highlight the role of quarantine and isolation in influencing disease dynamics, and the resulting model can serve as a reference for early prevention strategies in managing infectious disease transmission.
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