All ETDs from UAB

Advisor(s)

Marius Nkashama

Committee Member(s)

Chengcui Zhang
Junfang Li
Marius Nkashama
Roger Sidje
Shangbing Ai

School

College of Arts and Sciences

Document Type

Dissertation

Department (new version)

Applied Mathematics

Date of Award

9-11-2025

Abstract

The primary goal of this thesis is to improve upon existing dynamical system models in economics. Existing models utilizing Lotka-Volterra dynamics display a tendency to suffer from unrealistic forecasts dominated by exponential growth and decay. Additionally, current inverse methods are only applicable in differential equation systems with linear coefficients. In this body of work, we propose novel methods for handling these challenges.

Included in

Mathematics Commons

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