Disease Modeling Using Fractional Differential Equations and Estimation

Author

Daniel P. Medina, The University of Texas Rio Grande Valley

Date of Award

5-2017

Document Type

Thesis

Degree Name

Master of Science (MS)

Department

Mathematics

First Advisor

Dr. Tamer Oraby

Second Advisor

Dr. Andras Balogh

Third Advisor

Dr. Erwin Suazo

Abstract

Ordinary differential equations has been the most conventional approach when modeling spread of infectious diseases. Effective research has shown that using fractional-order differentiation can be a very useful and efficient extension for some mathematical models. In this thesis, fractional calculus is used to depict an SEIR model with a system of fractional-order differential equations. I also simulate the fractional-order SEIR using integer-order numerical methods. I also establish the estimation framework and show that it is accurately working.

Comments

Copyright 2017 Daniel P. Medina. All Rights Reserved.

https://www.proquest.com/dissertations-theses/disease-modeling-using-fractional-differential/docview/1938666040/se-2?accountid=7119

Recommended Citation

Medina, Daniel P., "Disease Modeling Using Fractional Differential Equations and Estimation" (2017). Theses and Dissertations. 199.
https://scholarworks.utrgv.edu/etd/199