MATHEMATICAL MODEL OF THE COVID-19 SPREAD WITH TEMPORARY IMMUNITY EFFECTS ON THE VACCINATED AND UNVACCINATED POPULATIONS
In 2019, there was an outbreak of an infectious disease caused by Severe Acute Respiratory Syndrom Coronavirus 2. The disease causes the so-called COVID-19 disease. This disease is easily contagious and can lead to death, so action is needed to reduce the spread of COVID-19 disease. Self-preventi...
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| Format: | Theses |
| Language: | Indonesia |
| Online Access: | https://digilib.itb.ac.id/gdl/view/63356 |
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| Institution: | Institut Teknologi Bandung |
| Language: | Indonesia |
| Summary: | In 2019, there was an outbreak of an infectious disease caused by Severe Acute
Respiratory Syndrom Coronavirus 2. The disease causes the so-called COVID-19
disease. This disease is easily contagious and can lead to death, so action is needed
to reduce the spread of COVID-19 disease. Self-prevention and vaccines are carried
out to give a person immunity. However, vaccines have a duration of immunity. In
this Thesis Project, two models have been reconstructed, taking into account the
time of vaccine immunity. The model I was formed by dividing the population
into vaccinated and unvaccinated people. The model is improved in model II by
adding people that lost vaccine immunity. The model analysis on model II found
that a short duration of immunity can increase the susceptible population who loses
vaccine immunity (Sw). Meanwhile, suppose the rate of disease transmission increases
after there is no protection from vaccine immunity. In that case, the number of
infected populations will increase with the peak of cases occurring at the end of the
year. Therefore, it is necessary to have a booster vaccination policy so that when
the booster starts to be implemented, it is seen that the number of infected population
and susceptible populations who have lost vaccine immunity is beginning to
decrease. |
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