Threshold dynamics used to control the spread of the disease in infectious disease
phenomena has an overwhelming importance and interest in mathematical
epidemiology. One of the famous threshold quantity is known to be the basic
reproduction ratio. Its formulation as well as computation is the main concern
of infectious diseases.
The aim of this thesis is to analyze the basic reproduction ratio in both autonomous
and periodic systems via defining R0 as the spectral radius of the next
generation operator.
This thesis presents the vector host model for the diseases Dengue fever and avian
influenza. As emerging of the diseases shows periodicity, systems of periodic
ordinary differential equations are considered for both types of diseases. Simple
implementation of the time-averaged systems gives rise to the comparison of these
with the periodic systems. Thus, we investigate the occurence of the existence
of underestimation or overestimation of the basic reproduction ratio in timeaveraged
systems.
| Identifer | oai:union.ndltd.org:METU/oai:etd.lib.metu.edu.tr:http://etd.lib.metu.edu.tr/upload/12615565/index.pdf |
| Date | 01 February 2013 |
| Creators | Evcin, Cansu |
| Contributors | Ugur, Omur |
| Publisher | METU |
| Source Sets | Middle East Technical Univ. |
| Language | English |
| Detected Language | English |
| Type | M.S. Thesis |
| Format | text/pdf |
| Rights | Access forbidden for 1 year |
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