You are here
RIGOROUS ANALYSIS OF AN EDGE-BASED NETWORK DISEASE MODEL
| Title: | RIGOROUS ANALYSIS OF AN EDGE-BASED NETWORK DISEASE MODEL. |
 44 views 15 downloads |
|---|---|---|
| Name(s): |
Mai, Sabrina, Author Shuai, Zhisheng, Committee Chair University of Central Florida, Degree Grantor |
|
| Type of Resource: | text | |
| Date Issued: | 2019 | |
| Publisher: | University of Central Florida | |
| Language(s): | English | |
| Abstract/Description: | Edge-based network disease models, in comparison to classic compartmental epidemiological models, better capture social factors affecting disease spread such as contact duration and social heterogeneity. We reason that there should exist infinitely many equilibria rather than only an endemic equilibrium and a disease-free equilibrium for the edge-based network disease model commonly used in the literature, as there do not exist any changes in demographic in the model. We modify the commonly used network model by relaxing some assumed conditions and factor in a dependency on initial conditions. We find that this modification still accounts for realistic dynamics of disease spread (such as the probability of contracting a disease based off your neighbors' susceptibility to the disease) based on the basic reproduction number. Specifically, if the basic reproduction number is below 1, then the infection dies out; while if the basic reproduction number is above 1, then there is possibility of an epidemic. | |
| Identifier: | CFH2000537 (IID), ucf:45651 (fedora) | |
| Note(s): |
2019-05-01 B.S. College of Sciences, Mathematics Bachelors This record was generated from author submitted information. |
|
| Subject(s): |
network disease model analysis edge epidemiology |
|
| Persistent Link to This Record: | http://purl.flvc.org/ucf/fd/CFH2000537 | |
| Restrictions on Access: | public | |
| Host Institution: | UCF |
