Disciplines
Ordinary Differential Equations and Applied Dynamics
Abstract (300 words maximum)
We study the effects of environmental feedback on the ecological competition by analyzing the classic Lotka-Volterra model coupled with a simple model of the environment. In particular, we look for ways in which feedback between competing populations and the environment stabilizes or destabilizes coexistence between the species. To do so, we use a combination of mathematical analysis and computer software such as Matlab.
KEYWORDS; mathematical modeling, Lotka-Volterra, ecological competition, environmental feedback
Academic department under which the project should be listed
CSM - Mathematics
Primary Investigator (PI) Name
Glenn Young
Environmental impact on competition in ecological communities
We study the effects of environmental feedback on the ecological competition by analyzing the classic Lotka-Volterra model coupled with a simple model of the environment. In particular, we look for ways in which feedback between competing populations and the environment stabilizes or destabilizes coexistence between the species. To do so, we use a combination of mathematical analysis and computer software such as Matlab.
KEYWORDS; mathematical modeling, Lotka-Volterra, ecological competition, environmental feedback