#### Department

Department of Mathematics

Rongsong Lui

#### Description

HIV/AIDS has been a major epidemic problem in all corners of the globe. Nearly every culture around the world is affected by it in one way or another. In order to help control its far reaching implications, we need to first understand how it propagates throughout a population. To do this I developed a mathematical model using some well founded methods in Epidemiology, SIR based compartmental models. I also wanted to focus on how high risk populations, such as injecting drug users and sex workers, affect the rest of the populations. In order to fully develop my model I had to narrow my attention to a specific population. I decided to look at Yunnan, China because the disease in that region is still young, and it is possible to really see how this disease develops. I have developed a system of equations that relate the different sub-populations of the area. Using these equations I have been working on altering specific parameters, which would represent selected control strategies, and seeing how those changes effect the population as time progresses. My work can be used to help policy makers easily visualize where to properly allocate their resources.

Oral Presentation, NSF EPSCoR

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A Mathematical Model for HIV Focusing on High Risk Populations in Yunnan, China

HIV/AIDS has been a major epidemic problem in all corners of the globe. Nearly every culture around the world is affected by it in one way or another. In order to help control its far reaching implications, we need to first understand how it propagates throughout a population. To do this I developed a mathematical model using some well founded methods in Epidemiology, SIR based compartmental models. I also wanted to focus on how high risk populations, such as injecting drug users and sex workers, affect the rest of the populations. In order to fully develop my model I had to narrow my attention to a specific population. I decided to look at Yunnan, China because the disease in that region is still young, and it is possible to really see how this disease develops. I have developed a system of equations that relate the different sub-populations of the area. Using these equations I have been working on altering specific parameters, which would represent selected control strategies, and seeing how those changes effect the population as time progresses. My work can be used to help policy makers easily visualize where to properly allocate their resources.