Computational analysis of the sir mathematical model for the dengue fever

Author

Joseph Phillip Diaz, The University of Texas Rio Grande Valley

Date of Award

12-2015

Document Type

Thesis

Degree Name

Master of Science (MS)

Department

Mathematics

First Advisor

Dr. Dambaru Bhatta

Second Advisor

Dr. Andras Balogh

Third Advisor

Dr. Paul Bracken

Abstract

Dengue fever is a disease affecting people in more than 100 countries. Here we consider a host and vector model for the transmission of dengue fever. This SIR model consists of three compartments of susceptible, infective and removed for host (human) and two compartments of susceptible and infective for vector (dengue mosquitos). These five compartments yield five coupled nonlinear ordinary differential equations (ODEs). After non-dimensionalization, we have a system of three nonlinear ODEs. Reproductive number and two equilibrium points are calculated for various cases. Simulation is carried out for susceptible, infective and removed and the results are presented in graphical forms for various scenarios.

Comments

Copyright 2015 Joseph Phillip Diaz. All Rights Reserved.

https://www.proquest.com/dissertations-theses/computational-analysis-sir-mathematical-model/docview/1771508803/se-2?accountid=7119

Recommended Citation

Diaz, Joseph Phillip, "Computational analysis of the sir mathematical model for the dengue fever" (2015). Theses and Dissertations. 29.
https://scholarworks.utrgv.edu/etd/29