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Prediction of Rolling Force Based on a Fusion of Extreme Learning Machine and Self Learning Model of Rolling Force Read chapter Read first chapter

2018 | OriginalPaper | Chapter

Study of an SIR Epidemic Disease Model with Special Nonlinear Incidence and Computer Simulation

Authors : Xiuchao Song, Miaohua Liu, Hao Song, Guohong Liang

Published in: Advances in Intelligent Systems and Interactive Applications

Publisher: Springer International Publishing

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Abstract

An SIR epidemic disease model with special nonlinear incidence was dealt with in this paper. By constructing the Lyapunov function, the global stability of the infection free equilibrium is proved when one is greater than or equal to the basic reproduction number; and the global stability of the unique infection equilibrium of the system is also proved when one is less than the basic reproduction number. At last, the results were verified by computer simulation.

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Metadata
Title
Study of an SIR Epidemic Disease Model with Special Nonlinear Incidence and Computer Simulation
Authors
Xiuchao Song
Miaohua Liu
Hao Song
Guohong Liang
Copyright Year
2018
Book
Advances in Intelligent Systems and Interactive Applications

Print ISBN: 978-3-319-69095-7

Electronic ISBN: 978-3-319-69096-4

Copyright Year: 2018

DOI
https://doi.org/10.1007/978-3-319-69096-4_106

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