UTA Department of Mathematics

Applied Mathematics Seminar

Date/Time/Room: Friday (4/27/2007) at 2:00pm in 487 Pickard Hall

Speaker: Dr. Alexander V. Prasolov, Professor and Head
Department of Economical Systems Modeling
Faculty of Applied Mathematics - Control Processes, Saint-Petersburg State University


"Delay Lotka-Volterra Model of n-Order"

Abstract: Lotka-Volterra models have evolved into varied fields such as biology, economics, sociology and others. In his famous paper "Mathematical model of existence struggle" Vito Volterra considered the n-dimensional model himself. Still, after more than 80 years, scientists are yet finding Volterra's early study of interest. In this presentation, we are going to talk about the description of one of Volterra's models, its various interpretations and analytical directions. Discussed will be a specific Lyapunov function, equilibrium points, invariant sets, stability, and oscillation properties. Special attention will be focused on the extension to a delay system because of this case's interesting behavior. Applications will be discussed as time permits.