On the Stochastic Dynamics of a Social Epidemics Model
Joint Authors
Wang, Xun-Yang
Zhang, Peng-Zhan
Yang, Qing-Shan
Source
Discrete Dynamics in Nature and Society
Issue
Vol. 2017, Issue 2017 (31 Dec. 2017), pp.1-14, 14 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2017-01-02
Country of Publication
Egypt
No. of Pages
14
Main Subjects
Abstract EN
Alcohol abuse is a major social problem, which has caused a lot of damages or hidden dangers to the individual and the society.
In this paper, with random factors of alcoholism considered in mortality rate of compartment populations, we formulate a stochastic alcoholism model according to compartment theory of infectious disease.
Based on this model, we investigate the long-term stochastic dynamics behaviors of two equilibria of the corresponding deterministic model and point out the effect of random disturbance on the stability of the system.
We find that when R0≤1, we get the estimation between the trajectory of stochastic system and E0=(Π/μs,0,0,0) in the average in time with respect to the disturbance intensity, while when R0>1, stochastic system is ergodic and has the unique stationary distribution.
Finally, we carry out numerical simulations to support the corresponding theoretical results.
American Psychological Association (APA)
Wang, Xun-Yang& Zhang, Peng-Zhan& Yang, Qing-Shan. 2017. On the Stochastic Dynamics of a Social Epidemics Model. Discrete Dynamics in Nature and Society،Vol. 2017, no. 2017, pp.1-14.
https://search.emarefa.net/detail/BIM-1151633
Modern Language Association (MLA)
Wang, Xun-Yang…[et al.]. On the Stochastic Dynamics of a Social Epidemics Model. Discrete Dynamics in Nature and Society No. 2017 (2017), pp.1-14.
https://search.emarefa.net/detail/BIM-1151633
American Medical Association (AMA)
Wang, Xun-Yang& Zhang, Peng-Zhan& Yang, Qing-Shan. On the Stochastic Dynamics of a Social Epidemics Model. Discrete Dynamics in Nature and Society. 2017. Vol. 2017, no. 2017, pp.1-14.
https://search.emarefa.net/detail/BIM-1151633
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1151633