Global Dynamics of a Discretized Heroin Epidemic Model with Time Delay
Joint Authors
Teng, Zhidong
Abdurahman, Xamxinur
Zhang, Ling
Source
Issue
Vol. 2014, Issue 2014 (31 Dec. 2014), pp.1-10, 10 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2014-10-20
Country of Publication
Egypt
No. of Pages
10
Main Subjects
Abstract EN
We derive a discretized heroin epidemic model with delay by applying a nonstandard finite difference scheme.
We obtain positivity of the solution and existence of the unique endemic equilibrium.
We show that heroin-using free equilibrium is globally asymptotically stable when the basic reproduction number R0<1, and the heroin-using is permanent when the basic reproduction number R0>1.
American Psychological Association (APA)
Abdurahman, Xamxinur& Zhang, Ling& Teng, Zhidong. 2014. Global Dynamics of a Discretized Heroin Epidemic Model with Time Delay. Abstract and Applied Analysis،Vol. 2014, no. 2014, pp.1-10.
https://search.emarefa.net/detail/BIM-1033974
Modern Language Association (MLA)
Abdurahman, Xamxinur…[et al.]. Global Dynamics of a Discretized Heroin Epidemic Model with Time Delay. Abstract and Applied Analysis No. 2014 (2014), pp.1-10.
https://search.emarefa.net/detail/BIM-1033974
American Medical Association (AMA)
Abdurahman, Xamxinur& Zhang, Ling& Teng, Zhidong. Global Dynamics of a Discretized Heroin Epidemic Model with Time Delay. Abstract and Applied Analysis. 2014. Vol. 2014, no. 2014, pp.1-10.
https://search.emarefa.net/detail/BIM-1033974
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1033974