Analysis of a Diffusive Heroin Epidemic Model in a Heterogeneous Environment
Joint Authors
Source
Issue
Vol. 2020, Issue 2020 (31 Dec. 2020), pp.1-12, 12 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2020-05-20
Country of Publication
Egypt
No. of Pages
12
Main Subjects
Abstract EN
This paper is concerned with a reaction-diffusion heroin model in a bound domain.
The objective of this paper is to explore the threshold dynamics based on threshold parameter and basic reproduction number (BRN) ℜ0, and it is proved that if ℜ0<1, heroin spread will be extinct, while if ℜ0>1, heroin spread is uniformly persistent and there exists a positive heroin-spread steady state.
We also obtain that the explicit formula of ℜ0 and global attractiveness of constant positive steady state (PSS) when all parameters are positive constants.
Our simulation results reveal that compared to the homogeneous setting, the spatial heterogeneity has essential impacts on increasing the risk of heroin spread.
American Psychological Association (APA)
Wang, Jinliang& Sun, Hongquan. 2020. Analysis of a Diffusive Heroin Epidemic Model in a Heterogeneous Environment. Complexity،Vol. 2020, no. 2020, pp.1-12.
https://search.emarefa.net/detail/BIM-1144166
Modern Language Association (MLA)
Wang, Jinliang& Sun, Hongquan. Analysis of a Diffusive Heroin Epidemic Model in a Heterogeneous Environment. Complexity No. 2020 (2020), pp.1-12.
https://search.emarefa.net/detail/BIM-1144166
American Medical Association (AMA)
Wang, Jinliang& Sun, Hongquan. Analysis of a Diffusive Heroin Epidemic Model in a Heterogeneous Environment. Complexity. 2020. Vol. 2020, no. 2020, pp.1-12.
https://search.emarefa.net/detail/BIM-1144166
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1144166