How A Lack Of Vaccination Can Induce An Epidemic

Location

SU 219

Department

Mathematics

Abstract

For any number of reasons people are not getting the vaccines that will give them immunity from many life threatening diseases. Although we are not going to discuss the psychology of what is causing people to make these decisions, we will show that this behavior can be detrimental to society. Using the threshold, we determine if the conditions are right for a disease to spread, which happens when on average an infected person is infecting more than one person with the disease. When a large enough number of people are getting vaccinations there will not be enough susceptible people available to become infected. However when enough individuals are not getting vaccinated, the conditions will exist for an outbreak to occur. Specifically we will show at what point a percentage of a population not getting needed vaccines will create the right conditions for an epidemic to occur.

Comments

Joseph Hibdon Jr. is the faculty sponsor of this project.

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Apr 19th, 10:40 AM

How A Lack Of Vaccination Can Induce An Epidemic

SU 219

For any number of reasons people are not getting the vaccines that will give them immunity from many life threatening diseases. Although we are not going to discuss the psychology of what is causing people to make these decisions, we will show that this behavior can be detrimental to society. Using the threshold, we determine if the conditions are right for a disease to spread, which happens when on average an infected person is infecting more than one person with the disease. When a large enough number of people are getting vaccinations there will not be enough susceptible people available to become infected. However when enough individuals are not getting vaccinated, the conditions will exist for an outbreak to occur. Specifically we will show at what point a percentage of a population not getting needed vaccines will create the right conditions for an epidemic to occur.