Presenter(s)

Reed Diller, Andrew Mosler

Comments

10:45-12:00, Kennedy Union Ballroom

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Description

Honeybee populations are critical for global agriculture and are also a part of the food that we consume, yet they have been declining due to various factors including habitat loss, climate variability, pesticides, and parasitic infestations. This study (Romero-Leiton, Gutierrez, Benavides, Molina, Pulgarín, 2022) takes a detailed approach to modeling honeybee colonies through differential equations. Authors used mathematical models to explore equilibrium conditions for colony survival, and also included an analysis of USDA honey production data (1985–2019) with linear models to reveal a declining relationship between colony numbers and honey yield over time. These results show that stress induced death in the colonies significantly impacts the stability of the colony itself. This then leads to reduced honey production and potential colony collapse. In this work we present a comparison of numerical solutions of the mathematical model in (Romero-Leiton, Gutierrez, Benavides, Molina, Pulgarín, 2022) using Runge-Kutta methods. We use MATLAB’s built-in functions.

Publication Date

4-23-2025

Project Designation

Course Project - MTH 219 04

Primary Advisor

Muhammad Usman

Primary Advisor's Department

Mathematics

Keywords

Stander Symposium, College of Arts and Sciences

Modeling Honeybee Population Through Differential Equations

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