Medicine >> Other

Infectious Diseases: Modeling theoretical Disease infection and Vaccination programs

by Benjamin Kiszkiel

 

Submitted : Spring 2016


In the world new diseases can appear in a blink of an eye leaving many people sick and dying before the population is able to counteract it. Fortunately the population of the world has immunities built in for disease, but even then the disease can infect the entire population in a matter of years. In this paper, we will take a look at three theoretical diseases determine their infection rates and produce a vaccination program for each. The three diseases will vary in that; one will have a high immunity factor, another with has an average immunity factor and the last will have a varying immunity factor to better simulate reality. We will take each of these diseases and using a known two variable function calculate the infection rate of the disease till the entire population is infected or ten years have passed. Once that is complete we’ll take the infection rates plug them into a preset differential equation and produce a vaccination plan.

Doing these processes for the three theoretical diseases showed it is possible to predict the growth of infectious diseases and come up with a plan to counteract them before they even appear in the population.

In the world new diseases can appear in a blink of an eye leaving many people sick and dying before the population is able to counteract it. Fortunately the population of the world has immunities built in for disease, but even then the disease can infect the entire population in a matter of years. In this paper, we will take a look at three theoretical diseases determine their infection rates and produce a vaccination program for each. The three diseases will vary in that; one will have a high immunity factor, another with has an average immunity factor and the last will have a varying immunity factor to better simulate reality. We will take each of these diseases and using a known two variable function calculate the infection rate of the disease till the entire population is infected or ten years have passed. Once that is complete we’ll take the infection rates plug them into a preset differential equation and produce a vaccination plan.

Doing these processes for the three theoretical diseases showed it is possible to predict the growth of infectious diseases and come up with a plan to counteract them before they even appear in the population.

In the world new diseases can appear in a blink of an eye leaving many people sick and dying before the population is able to counteract it. Fortunately the population of the world has immunities built in for disease, but even then the disease can infect the entire population in a matter of years. In this paper, we will take a look at three theoretical diseases determine their infection rates and produce a vaccination program for each. The three diseases will vary in that; one will have a high immunity factor, another with has an average immunity factor and the last will have a varying immunity factor to better simulate reality. We will take each of these diseases and using a known two variable function calculate the infection rate of the disease till the entire population is infected or ten years have passed. Once that is complete we’ll take the infection rates plug them into a preset differential equation and produce a vaccination plan.

Doing these processes for the three theoretical diseases showed it is possible to predict the growth of infectious diseases and come up with a plan to counteract them before they even appear in the population.

In the world new diseases can appear in a blink of an eye leaving many people sick and dying before the population is able to counteract it. Fortunately the population of the world has immunities built in for disease, but even then the disease can infect the entire population in a matter of years. In this paper, we will take a look at three theoretical diseases determine their infection rates and produce a vaccination program for each. The three diseases will vary in that; one will have a high immunity factor, another with has an average immunity factor and the last will have a varying immunity factor to better simulate reality. We will take each of these diseases and using a known two variable function calculate the infection rate of the disease till the entire population is infected or ten years have passed. Once that is complete we’ll take the infection rates plug them into a preset differential equation and produce a vaccination plan.

Doing these processes for the three theoretical diseases showed it is possible to predict the growth of infectious diseases and come up with a plan to counteract them before they even appear in the population.

In the world new diseases can appear in a blink of an eye leaving many people sick and dying before the population is able to counteract it. Fortunately the population of the world has immunities built in for disease, but even then the disease can infect the entire population in a matter of years. In this paper, we will take a look at three theoretical diseases determine their infection rates and produce a vaccination program for each. The three diseases will vary in that; one will have a high immunity factor, another with has an average immunity factor and the last will have a varying immunity factor to better simulate reality. We will take each of these diseases and using a known two variable function calculate the infection rate of the disease till the entire population is infected or ten years have passed. Once that is complete we’ll take the infection rates plug them into a preset differential equation and produce a vaccination plan.

Doing these processes for the three theoretical diseases showed it is possible to predict the growth of infectious diseases and come up with a plan to counteract them before they even appear in the population.

 


 

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Advisors :
Arcadii Grinshpan, Mathematics and Statistics
Earl McCoy, Integrative Biology
Suggested By :
Earl McCoy