Analysis of a Diffusive Heroin Epidemic Model in a Heterogeneous Environment

Jinliang Wang and Hongquan Sun

Complexity, 2020, vol. 2020, 1-12

Abstract:

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) , and it is proved that if , heroin spread will be extinct, while if , heroin spread is uniformly persistent and there exists a positive heroin-spread steady state. We also obtain that the explicit formula of 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.

Date: 2020
References: Add references at CitEc
Citations:

Downloads: (external link)
http://downloads.hindawi.com/journals/8503/2020/8268950.pdf (application/pdf)
http://downloads.hindawi.com/journals/8503/2020/8268950.xml (text/xml)

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:hin:complx:8268950

DOI: 10.1155/2020/8268950

Access Statistics for this article

More articles in Complexity from Hindawi
Bibliographic data for series maintained by Mohamed Abdelhakeem ().