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2013 Modeling and Analysis of Epidemic Diffusion with Population Migration
Ming Liu, Yihong Xiao
J. Appl. Math. 2013(SI19): 1-8 (2013). DOI: 10.1155/2013/583648


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.


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Ming Liu. Yihong Xiao. "Modeling and Analysis of Epidemic Diffusion with Population Migration." J. Appl. Math. 2013 (SI19) 1 - 8, 2013.


Published: 2013
First available in Project Euclid: 14 March 2014

zbMATH: 06950759
MathSciNet: MR3094968
Digital Object Identifier: 10.1155/2013/583648

Rights: Copyright © 2013 Hindawi

Vol.2013 • No. SI19 • 2013
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