- Finding and Validating Equilibria in Hill Models Using Interval Arithmetics
- Project Year:
2020
- REU Student (s):
Chih-Yun Tseng | University of Maryland-College Park MD
- Student 1 Institution:
University of Maryland-College Park
- Project Mentor:
Konstantin Mischaikow
- Project Mentor Area:
Mathematics
- Project Abstract:
Our project is inspired by the mathematical model used in the software package DSGRN. We try to find the equilibria in the systems of ODEs containing Hill models using Newton's method and validate them by radii polynomials. Finally, we introduced interval arithmetics to prove the nonexistence of other equilibria besides the ones we have found.
