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Global Dynamics of Infectious Disease with Arbitrary Distributed Infectious Period on Complex Networks
Joint Authors
Sun, Gui-Quan
Zhang, Xiaoguang
Song, Rui
Jin, Zhen
Source
Discrete Dynamics in Nature and Society
Issue
Vol. 2014, Issue 2014 (31 Dec. 2014), pp.1-9, 9 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2014-09-01
Country of Publication
Egypt
No. of Pages
9
Main Subjects
Abstract EN
Most of the current epidemic models assume that the infectious period follows an exponential distribution.
However, due to individual heterogeneity and epidemic diversity, these models fail to describe the distribution of infectious periods precisely.
We establish a SIS epidemic model with multistaged progression of infectious periods on complex networks, which can be used to characterize arbitrary distributions of infectious periods of the individuals.
By using mathematical analysis, the basic reproduction number R0 for the model is derived.
We verify that the R0 depends on the average distributions of infection periods for different types of infective individuals, which extend the general theory obtained from the single infectious period epidemic models.
It is proved that if R0<1, then the disease-free equilibrium is globally asymptotically stable; otherwise the unique endemic equilibrium exists such that it is globally asymptotically attractive.
Finally numerical simulations hold for the validity of our theoretical results is given.
American Psychological Association (APA)
Zhang, Xiaoguang& Song, Rui& Sun, Gui-Quan& Jin, Zhen. 2014. Global Dynamics of Infectious Disease with Arbitrary Distributed Infectious Period on Complex Networks. Discrete Dynamics in Nature and Society،Vol. 2014, no. 2014, pp.1-9.
https://search.emarefa.net/detail/BIM-1017894
Modern Language Association (MLA)
Zhang, Xiaoguang…[et al.]. Global Dynamics of Infectious Disease with Arbitrary Distributed Infectious Period on Complex Networks. Discrete Dynamics in Nature and Society No. 2014 (2014), pp.1-9.
https://search.emarefa.net/detail/BIM-1017894
American Medical Association (AMA)
Zhang, Xiaoguang& Song, Rui& Sun, Gui-Quan& Jin, Zhen. Global Dynamics of Infectious Disease with Arbitrary Distributed Infectious Period on Complex Networks. Discrete Dynamics in Nature and Society. 2014. Vol. 2014, no. 2014, pp.1-9.
https://search.emarefa.net/detail/BIM-1017894
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1017894