Modeling and Analysis of Epidemic Diffusion within Small-World Network
To depict the rule of epidemic diffusion, two different models, the Susceptible-Exposure-Infected-Recovered-Susceptible (SEIRS) model and the Susceptible-Exposure-Infected-Quarantine-Recovered-Susceptible (SEIQRS) model, are proposed and analyzed within small-world network in this paper. Firstly, th...
Saved in:
| Main Authors: | , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
Wiley
2012-01-01
|
| Series: | Journal of Applied Mathematics |
| Online Access: | http://dx.doi.org/10.1155/2012/841531 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1849307070981996544 |
|---|---|
| author | Ming Liu Yihong Xiao |
| author_facet | Ming Liu Yihong Xiao |
| author_sort | Ming Liu |
| collection | DOAJ |
| description | To depict the rule of epidemic diffusion, two different models, the Susceptible-Exposure-Infected-Recovered-Susceptible (SEIRS) model and the Susceptible-Exposure-Infected-Quarantine-Recovered-Susceptible (SEIQRS) model, are proposed and analyzed within small-world network in this paper. Firstly, the epidemic diffusion models are constructed with mean-filed theory, and condition for the occurrence of disease diffusion is explored. Then, the existence and global stability of the disease-free equilibrium and the endemic equilibrium for these two complex epidemic systems are proved by differential equations knowledge and Routh-Hurwiz theory. At last, a numerical example which includes key parameters analysis and critical topic discussion is presented to test how well the proposed two models may be applied in practice. These works may provide some guidelines for decision makers when coping with epidemic diffusion controlling problems. |
| format | Article |
| id | doaj-art-2055d2ec3a8b48278e27c99540e7580a |
| institution | Kabale University |
| issn | 1110-757X 1687-0042 |
| language | English |
| publishDate | 2012-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Applied Mathematics |
| spelling | doaj-art-2055d2ec3a8b48278e27c99540e7580a2025-08-20T03:54:52ZengWileyJournal of Applied Mathematics1110-757X1687-00422012-01-01201210.1155/2012/841531841531Modeling and Analysis of Epidemic Diffusion within Small-World NetworkMing Liu0Yihong Xiao1Department of Management Science and Engineering, Nanjing University of Science and Technology, Jiangsu 210094, ChinaDepartment of Management Science and Engineering, Nanjing University of Science and Technology, Jiangsu 210094, ChinaTo depict the rule of epidemic diffusion, two different models, the Susceptible-Exposure-Infected-Recovered-Susceptible (SEIRS) model and the Susceptible-Exposure-Infected-Quarantine-Recovered-Susceptible (SEIQRS) model, are proposed and analyzed within small-world network in this paper. Firstly, the epidemic diffusion models are constructed with mean-filed theory, and condition for the occurrence of disease diffusion is explored. Then, the existence and global stability of the disease-free equilibrium and the endemic equilibrium for these two complex epidemic systems are proved by differential equations knowledge and Routh-Hurwiz theory. At last, a numerical example which includes key parameters analysis and critical topic discussion is presented to test how well the proposed two models may be applied in practice. These works may provide some guidelines for decision makers when coping with epidemic diffusion controlling problems.http://dx.doi.org/10.1155/2012/841531 |
| spellingShingle | Ming Liu Yihong Xiao Modeling and Analysis of Epidemic Diffusion within Small-World Network Journal of Applied Mathematics |
| title | Modeling and Analysis of Epidemic Diffusion within Small-World Network |
| title_full | Modeling and Analysis of Epidemic Diffusion within Small-World Network |
| title_fullStr | Modeling and Analysis of Epidemic Diffusion within Small-World Network |
| title_full_unstemmed | Modeling and Analysis of Epidemic Diffusion within Small-World Network |
| title_short | Modeling and Analysis of Epidemic Diffusion within Small-World Network |
| title_sort | modeling and analysis of epidemic diffusion within small world network |
| url | http://dx.doi.org/10.1155/2012/841531 |
| work_keys_str_mv | AT mingliu modelingandanalysisofepidemicdiffusionwithinsmallworldnetwork AT yihongxiao modelingandanalysisofepidemicdiffusionwithinsmallworldnetwork |