Description
Use a system dynamics modeling program such as Vensim or NetLogo to model spread of disease among staff and patients in hospital to help hospital administrators create guidelines for their staff.
Doctors, nurses and other hospital staff help save lives. Unfortunately, they are also vectors of disease sometime infecting their patients, and thus inadvertently causing harm.
Create a system dynamics model that takes into account the various groups of people that might be found in a hospital. Consider the various categories of patients, especially their susceptibility to disease. If they are an employee, take into account how replaceable they are, while they are infectious. Take into account the virulence, avoidability, detectability, likelihood and duration of categories of diseases. Analyzing whether an illness is imminent, as well as the likelihood of false positives and false negatives.
Note that the problem as described is fairly open-ended and could take years to complete
Note also that you have significantly less than years to complete it
Technology
System dynamic modeling tools such as Vensim or NetLogo
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This model (written in NetLogo) provides an accurate and open-ended manner of exploring the problem. Although many of the variables were left out of the final product (but could be easily added in), a fairly good approximation of immunization, death, and general propagation can be seen. See specific comments in the source code for exact details.