Stability Analysis of SIRS-like Delayed Renewal Equations

Madison Pratt

Infectious disease prevalence is controlled by an infection’s basic reproductive ratio, R0, defined by the number of secondary infections per individual. For many real-world diseases, infection prevalence is known to exhibit fluctuations overtime. We explore a set of renewal equations to study how delays in recovery and immunity, as well as changes in the R0 value, may contribute to oscillations of infection prevalence.

Major: 
Computational Mathematics
Exhibition Category: 
Physical Sciences
Exhibition Format: 
Poster Presentation
Campus: 
University Park
Faculty Sponsor: 
Timothy Reluga
Poster Number: 
22444