Mentor/s
Dr. Elliott Bertrand
Participation Type
Poster
Abstract
A differential equation relates an unknown function to one or more of its derivatives. Systems of differential equations can be used to model interspecies relationships. This paper will consider predator-prey and competition models. The equilibria of a system represent when the population rates of species are zero such that the populations are constant. We perform a stability analysis of the equilibria to determine if they are stable, unstable, or borderline. This stability will help us predict the population dynamics of the species modeled by the system.
College and Major available
College of Arts and Sciences, Mathematics
Academic Level
Undergraduate student
Location
Digital Commons & West Campus West Building University Commons
Start Day/Time
4-25-2025 12:00 PM
End Day/Time
4-25-2025 2:00 PM
Creative Commons License
This work is licensed under a Creative Commons Attribution-Noncommercial 4.0 License
Prize Categories
Best Multidisciplinary Research or Collaboration, Most Scholarly Impact or Potential, Best Writing
Exploring Interspecies Relationships Through Differential Equations
Digital Commons & West Campus West Building University Commons
A differential equation relates an unknown function to one or more of its derivatives. Systems of differential equations can be used to model interspecies relationships. This paper will consider predator-prey and competition models. The equilibria of a system represent when the population rates of species are zero such that the populations are constant. We perform a stability analysis of the equilibria to determine if they are stable, unstable, or borderline. This stability will help us predict the population dynamics of the species modeled by the system.
Students' Information
Isabella Zanni- mathematics major, honors student, May 2025