OPTIMIZATION MODEL IN VACCINATION OF DENGUE HEMMORHAGIC FEVER
Dengue Hemmorhagic Fever is a dangerous disease to humans caused by dengue virus. The spread of the disease is formulated into a differential equation SIRV, which is a modification of the Susceptible-Infected-Recovered (SIR) model with the adding a vaccination factor. In this model, the mosquito as...
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| Format: | Final Project |
| Language: | Indonesia |
| Online Access: | https://digilib.itb.ac.id/gdl/view/16430 |
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| Institution: | Institut Teknologi Bandung |
| Language: | Indonesia |
| Summary: | Dengue Hemmorhagic Fever is a dangerous disease to humans caused by dengue virus. The spread of the disease is formulated into a differential equation SIRV, which is a modification of the Susceptible-Infected-Recovered (SIR) model with the adding a vaccination factor. In this model, the mosquito as the intermediary variables is also added. Beside preventing the spread of the disease, many people doing research to find a vaccine for the prevention of endemic. Usually, the government allocate limited of funds to solve this problem, therefore optimization methods are <br />
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needed to determine the minimum cost to give vaccine for the people. The optimization method is formulated in the objective function, as cost function. The model is a quadratic equation with a the number of epidemic in a population as a constrains. <br />
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The solution of this problem is obtained by combining Runge Kutta orde 4 and the genetic algorithm methods. The value of minimum cost function will be analyzed to get the proper vaccination proportion to solve this problem. |
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