Mathematics (B.S.)

Document Type and Release Option

Thesis (open access)

Faculty Mentor

Hua Wang


Many factors come into play when it comes to the transmission of infectious diseases. In disease control and prevention, it is inevitable to consider the general population and the relationships between individuals as a whole, which calls for advanced mathematical modeling approaches.

We will use the concept of network flow and the modified Ford-Fulkerson algorithm to demonstrate the transmission of infectious diseases over a given period of time. Through our model one can observe what possible measures should be taken or improved upon in the case of an epidemic. We identify key nodes and edges in the resulted network, which will help determine an improved plan of disease prevention. This solution has been implemented through a Java code.