Prof. Martin Bohner
Missouri University of Science and Technology, Department of Mathematics and Statistics, USA
Speech Title: The Beverton-Holt Equation
Abstract:
In this talk, we will present the Beverton–Holt equation as used in fisheries and other population models, in many different scenarios (discrete case, continuous case, time scales case, quantum case, periodic case, with and without harvesting etc.).
References:
[1] Martin Bohner, Jaqueline Mesquita, and Sabrina Streipert. A unified concept of periodicity on
arbitrary time scales. To be submitted, 2025.
[2] Martin Bohner, Jaqueline Mesquita, and Sabrina Streipert. Generalized periodicity and applications
to logistic growth. Chaos Solitons Fractals, 186:1–13, Paper No. 115139, 2024.
[3] Martin Bohner, Jaqueline Mesquita, and Sabrina Streipert. The Beverton–Holt model on isolated
time scales. Math. Biosci. Eng., 19(11):11693–11716, 2022.
[4] Martin Bohner, Jaqueline Mesquita, and Sabrina Streipert. Periodicity on isolated time scales.
Math. Nachr., 295(2):259–280, 2022.
[5] Martin Bohner, Jaqueline Mesquita, and Sabrina Streipert. The Beverton-Holt model on isolated
time scales. Math. Biosci. Eng., 19(11):11693–11716, 2022.
[6] Martin Bohner and Sabrina Streipert. The second Cushing-Henson conjecture for the Beverton-Holt
q-difference equation. Opuscula Math., 37(6):795–819, 2017.
[7] Martin Bohner and Sabrina Streipert. Optimal harvesting policy for the Beverton-Holt model. Math.
Biosci. Eng., 13(4):673–695, 2016.
[8] Martin Bohner and Sabrina Streipert. The Beverton-Holt equation with periodic growth rate. Int.
J. Math. Comput., 26(4):1–10, 2015.
[9] Martin Bohner and Rotchana Chieochan. The Beverton-Holt q-difference equation. J. Biol. Dyn.,
7(1):86–95, 2013.
[10] Martin Bohner and Howard Warth. The Beverton-Holt dynamic equation. Appl. Anal., 86(8):1007–
1015, 2007.
Biography:
Martin Bohner is the Curators’ Distinguished Professor of Mathematics and Statistics at Missouri University of Science and Technology in Rolla, Missouri, USA. He received the BS (1989) and MS (1993) in Econo-mathematics and PhD (1995) from University Ulm, Germany, and MS (1992) in Applied Mathematics from San Diego State University. He was a Postdoc, sponsored by the Alexander von Humboldt-Foundation, at National University of Singapore (1997) and at San Diego State University (1998). Martin Bohner is a Past President of ISDE, the International Society of Difference Equations. His research interests center around differential, difference, and dynamic equations as well as their applications to economics, finance, biology, physics, and engineering. He is the author of seven textbooks and more than 350 publications, Editor-in-Chief of three international journals, and Associate Editor for almost 100 international journals. His work has been cited more than 20000 times in the literature, including more than 5000 citations of his book "Dynamic Equations on Time Scales: An Introduction with Applications", co-authored with Professor Allan Peterson. His h-index is 66, and his i10-index is 260. Professor Bohner is the recipient of the 2021 Obada Prize. His honors at Missouri S&T include five Faculty Excellence Awards, one Faculty Research Award, and nine Teaching Awards.