Modeling and Analysis of Epidemic Diffusion with Population Migration
Joint Authors
Source
Journal of Applied Mathematics
Issue
Vol. 2013, Issue 2013 (31 Dec. 2013), pp.1-8, 8 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2013-08-29
Country of Publication
Egypt
No. of Pages
8
Main Subjects
Abstract EN
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.
American Psychological Association (APA)
Liu, Ming& Xiao, Yihong. 2013. Modeling and Analysis of Epidemic Diffusion with Population Migration. Journal of Applied Mathematics،Vol. 2013, no. 2013, pp.1-8.
https://search.emarefa.net/detail/BIM-482692
Modern Language Association (MLA)
Liu, Ming& Xiao, Yihong. Modeling and Analysis of Epidemic Diffusion with Population Migration. Journal of Applied Mathematics No. 2013 (2013), pp.1-8.
https://search.emarefa.net/detail/BIM-482692
American Medical Association (AMA)
Liu, Ming& Xiao, Yihong. Modeling and Analysis of Epidemic Diffusion with Population Migration. Journal of Applied Mathematics. 2013. Vol. 2013, no. 2013, pp.1-8.
https://search.emarefa.net/detail/BIM-482692
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-482692