Coupled Telegraph and SIR Model of Information and Diseases

Author

Jose de Jesus Galarza, 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. Erwin Suazo

Second Advisor

Dr. Tamer Oraby

Third Advisor

Dr. Zhijun Qiao

Abstract

In this work, the effect of information propagation on disease spread and vaccination uptake through networks is studied. In this model the information reaches different people at different distances from the center of information containing the health data. We use a pair of Telegraph equations to depict the vaccine and disease information propagation on a network embedded into a straight line. The Telegraph equation is coupled with an SIR (Susceptible-Infected-Recovered) model to examine the anticipated mutual influence. Numerical simulations and stability analysis were made to study the model. We show how the propagation of information about the disease impacts the probability of vaccination and as a consequence the vaccination rate.

Comments

Copyright 2017 Jose de Jesus Galarza. All Rights Reserved.

https://www.proquest.com/dissertations-theses/coupled-telegraph-sir-model-information-diseases/docview/1938663358/se-2?accountid=7119

Recommended Citation

Galarza, Jose de Jesus, "Coupled Telegraph and SIR Model of Information and Diseases" (2017). Theses and Dissertations. 208.
https://scholarworks.utrgv.edu/etd/208