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The Analysis of an SIRS Epidemic Model with Discrete Delay on Scale-Free Network
Institute of Applied Mathematics, Shijiazhuang Mechanical Engineering College, Shijiazhuang, China
Institute of Applied Mathematics, Shijiazhuang Mechanical Engineering College, Shijiazhuang, China
Department of Science and Research, Shijiazhuang Mechanical Engineering College, Shijiazhuang, China
- 1 Institute of Applied Mathematics, Shijiazhuang Mechanical Engineering College, Shijiazhuang, China
- 2 Institute of Applied Mathematics, Shijiazhuang Mechanical Engineering College, Shijiazhuang, China
- 3 Department of Science and Research, Shijiazhuang Mechanical Engineering College, Shijiazhuang, China
Applied Mathematics·Volume 06 (2015)·Pages 1939–1946·Published 16 October 2015·DOI10.4236/am.2015.611171
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Abstract
A new epidemic SIRS model with discrete delay on scale-free network is presented. We give the formula of the basic reproductive number for the model and prove that the disease dies out when the basic reproductive number is less than unity, while the disease is uniformly persistent when the basic reproductive number is more than unity. Numerical simulations are given to demonstrate the main results.
KeywordsScale-Free NetworkEpidemic SpreadingAttractivityUniformly PersistenceTime Delay
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