The Stability of SI Epidemic Model in Complex Networks with Stochastic Perturbation
Joint Authors
Zhao, Jinqing
Liu, Maoxing
Wang, Wanwan
Yang, Panzu
Source
Issue
Vol. 2014, Issue 2014 (31 Dec. 2014), pp.1-14, 14 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2014-03-13
Country of Publication
Egypt
No. of Pages
14
Main Subjects
Abstract EN
We investigate a stochastic SI epidemic model in the complex networks.
We show that this model has a unique global positive solution.
Then we consider the asymptotic behavior of the model around the disease-free equilibrium and show that the solution will oscillate around the disease-free equilibrium of deterministic system when R0≤1.
Furthermore, we derive that the disease will be persistent when R0>1.
Finally, a series of numerical simulations are presented to illustrate our mathematical findings.
A new result is given such that, when R0≤1, with the increase of noise intensity the solution of stochastic system converging to the disease-free equilibrium is faster than that of the deterministic system.
American Psychological Association (APA)
Zhao, Jinqing& Liu, Maoxing& Wang, Wanwan& Yang, Panzu. 2014. The Stability of SI Epidemic Model in Complex Networks with Stochastic Perturbation. Abstract and Applied Analysis،Vol. 2014, no. 2014, pp.1-14.
https://search.emarefa.net/detail/BIM-1014334
Modern Language Association (MLA)
Zhao, Jinqing…[et al.]. The Stability of SI Epidemic Model in Complex Networks with Stochastic Perturbation. Abstract and Applied Analysis No. 2014 (2014), pp.1-14.
https://search.emarefa.net/detail/BIM-1014334
American Medical Association (AMA)
Zhao, Jinqing& Liu, Maoxing& Wang, Wanwan& Yang, Panzu. The Stability of SI Epidemic Model in Complex Networks with Stochastic Perturbation. Abstract and Applied Analysis. 2014. Vol. 2014, no. 2014, pp.1-14.
https://search.emarefa.net/detail/BIM-1014334
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1014334