Modeling and Analysis of Epidemic Diffusion with Population Migration
An improved Susceptible-Infected-Susceptible (SIS) epidemic diffusion model with population migration between two cities is modeled. Global stability conditions for both the disease-free equilibrium and the endemic equilibrium are analyzed and proved. The main contribution of this paper is reflecte...
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| Format: | Article |
| Language: | English |
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Wiley
2013-01-01
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| Series: | Journal of Applied Mathematics |
| Online Access: | http://dx.doi.org/10.1155/2013/583648 |
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| _version_ | 1849304347824881664 |
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| author | Ming Liu Yihong Xiao |
| author_facet | Ming Liu Yihong Xiao |
| author_sort | Ming Liu |
| collection | DOAJ |
| description | An improved Susceptible-Infected-Susceptible (SIS) epidemic diffusion model with population migration between two cities is modeled. Global stability conditions for both the disease-free equilibrium and the endemic equilibrium are analyzed and proved. The main contribution of this paper is reflected in epidemic modeling and analysis which considers unequal migration rates, and only susceptible individuals can migrate between the two cities. Numerical simulation shows when the epidemic diffusion system is stable, number of infected individuals in one city can reach zero, while the number of infected individuals in the other city is still positive. On the other hand, decreasing population migration in only one city seems not as effective as improving the recovery rate for controlling the epidemic diffusion. |
| format | Article |
| id | doaj-art-10fdafb0d67e48a1b5d44f5c716bc3c4 |
| institution | Kabale University |
| issn | 1110-757X 1687-0042 |
| language | English |
| publishDate | 2013-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Applied Mathematics |
| spelling | doaj-art-10fdafb0d67e48a1b5d44f5c716bc3c42025-08-20T03:55:45ZengWileyJournal of Applied Mathematics1110-757X1687-00422013-01-01201310.1155/2013/583648583648Modeling and Analysis of Epidemic Diffusion with Population MigrationMing Liu0Yihong Xiao1Department of Management Science and Engineering, Nanjing University of Science and Technology, Nanjing 210094, ChinaDepartment of Management Science and Engineering, Nanjing University of Science and Technology, Nanjing 210094, ChinaAn improved Susceptible-Infected-Susceptible (SIS) epidemic diffusion model with population migration between two cities is modeled. Global stability conditions for both the disease-free equilibrium and the endemic equilibrium are analyzed and proved. The main contribution of this paper is reflected in epidemic modeling and analysis which considers unequal migration rates, and only susceptible individuals can migrate between the two cities. Numerical simulation shows when the epidemic diffusion system is stable, number of infected individuals in one city can reach zero, while the number of infected individuals in the other city is still positive. On the other hand, decreasing population migration in only one city seems not as effective as improving the recovery rate for controlling the epidemic diffusion.http://dx.doi.org/10.1155/2013/583648 |
| spellingShingle | Ming Liu Yihong Xiao Modeling and Analysis of Epidemic Diffusion with Population Migration Journal of Applied Mathematics |
| title | Modeling and Analysis of Epidemic Diffusion with Population Migration |
| title_full | Modeling and Analysis of Epidemic Diffusion with Population Migration |
| title_fullStr | Modeling and Analysis of Epidemic Diffusion with Population Migration |
| title_full_unstemmed | Modeling and Analysis of Epidemic Diffusion with Population Migration |
| title_short | Modeling and Analysis of Epidemic Diffusion with Population Migration |
| title_sort | modeling and analysis of epidemic diffusion with population migration |
| url | http://dx.doi.org/10.1155/2013/583648 |
| work_keys_str_mv | AT mingliu modelingandanalysisofepidemicdiffusionwithpopulationmigration AT yihongxiao modelingandanalysisofepidemicdiffusionwithpopulationmigration |