Colloquium
Time:
Mathematics Colloquium
Date:
4:00 pm –
4:50 pm
Avery Hall
Room: 115
1144 T St
Lincoln NE 68508
Lincoln NE 68508
Additional Info: AVH
Contact:
Steve Cohn, (402) 472-7223, scohn1@math.unl.edu
Speaker: Martin Bohner
Affiliation: University of Missouri-Rolla
Local Hosts: Lynn Erbe, Al Peterson
Title: The Beverton—Holt q-Difference Equation
Affiliation: University of Missouri-Rolla
Local Hosts: Lynn Erbe, Al Peterson
Title: The Beverton—Holt q-Difference Equation
Additional Public Info:
<b>Abstract</b>: The Beverton—Holt model is a classical population model which has been considered in the literature for the discrete-time case. Its continuous-time analogue is the well-known logistic model. In this talk, we consider a quantum calculus
analogue of the Beverton—Holt equation. We use a recently introduced concept of
periodic functions in quantum calculus in order to study the existence of periodic
solutions of the Beverton—Holt q-difference equation. Moreover, we present proofs
of quantum calculus versions of two so-called Cushing—Henson conjectures.
Refreshments will be served in 348 Avery 3:30-4pm.
The talk is free and open to the public.