University of Connecticut

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Analysis Learning Seminar
Title: Global Dynamics and Boundedness of Discrete Population Models
David McArdle

Monday, April 22, 2019
2:30pm – 3:30pm

Storrs Campus
MONT 214

Abstract: The theory of difference equations will be introduced and global dynamic results will be presented for several 2-dimensional models originating from biological contexts. In particular, we will consider the system of difference equations

xn+1 = (αxn)/(1+βyn),

yn+1 = (γxnyn)/(xn + δyn), n=0,1,2,...

where α, β, γ, δ, x0, y0 are positive real numbers. This system was formulated by P. H. Leslie in 1948 as a model of host-parasite interactions. We will establish boundedness and persistence results along with global attractivity results for various parameter regions.


Murat Akman and Vyron Vellis

Analysis Learning Seminar (primary), UConn Master Calendar

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