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Model of epidemic, well known as Susceptible-Infected-Recovered (SIR), can be modi…ed by adding a factor of vaccination to prevent and control the occurrence of epidemics in a population. Vaccination program with the optimal cost is important in order to remain in compliance with the limits...

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Bibliographic Details
Main Author: IDZNI DYAH UTAMI (NIM : 101 07 008); Pembimbing Tugas Akhir : Dr. Nuning Nuraini, ADWITYA
Format: Final Project
Language:Indonesia
Online Access:https://digilib.itb.ac.id/gdl/view/14677
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Institution: Institut Teknologi Bandung
Language: Indonesia
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Summary:Model of epidemic, well known as Susceptible-Infected-Recovered (SIR), can be modi…ed by adding a factor of vaccination to prevent and control the occurrence of epidemics in a population. Vaccination program with the optimal cost is important in order to remain in compliance with the limits specifi…ed of epidemic. That vaccination strategy can be formulated as an optimization problem with linear and non-linear objective function. At each stage of completion of the optimization problem, numerical method Runge Kutta order 4 is used to determine the solution of differential equation from epidemic model of SIR with vaccination (SIRV). Value of the minimum cost function that successfully maintain the level of the epidemic is the optimal solution which will be analyzed into appropriate vaccination strategy