Term of Award
Fall 2022
Degree Name
Master of Science in Mathematics (M.S.)
Document Type and Release Option
Thesis (open access)
Copyright Statement / License for Reuse
This work is licensed under a Creative Commons Attribution 4.0 License.
Department
Department of Mathematical Sciences
Committee Chair
Divine Wanduku
Committee Member 1
Charles Champ
Committee Member 2
Andrew Sills
Abstract
We present survival lifetime models for vaccination, recovery and disease related deaths in a class of SVIS (Susceptible-Vaccinated-Infectious-Susceptible) epidemic models. We consider competing risks for the vaccination strategy in a parallel survival lifetime system. Applying a probability modeling approach for the SVIS epidemic dynamics, we obtain a non-autonomous system of differential equations for the SVIS infectious disease dynamics, where the system coefficients are hazard functions of the lifetime distributions. By employing the asymptotic properties of the hazard functions, we characterize the asymptotic steady state behaviors of the SVIS model. Applications of this study are given for an influenza epidemic in Georgia, U.S.A.
OCLC Number
1361716242
Catalog Permalink
https://galileo-georgiasouthern.primo.exlibrisgroup.com/permalink/01GALI_GASOUTH/1r4bu70/alma9916469949002950
Recommended Citation
Hasan, Md Mahmud, "Survival Lifetime Models for Competitive Vaccination Strategies, Recovery and Disease Related Death in Infectious Disease Dynamical Systems" (2022). Electronic Theses and Dissertations. 2510.
https://digitalcommons.georgiasouthern.edu/etd/2510
Research Data and Supplementary Material
No
Included in
Applied Statistics Commons, Biostatistics Commons, Disease Modeling Commons, Dynamical Systems Commons, Longitudinal Data Analysis and Time Series Commons, Ordinary Differential Equations and Applied Dynamics Commons, Other Immunology and Infectious Disease Commons, Probability Commons, Statistical Models Commons, Survival Analysis Commons
