Abstract

We have presented the numerical analysis of a stochastic heroin epidemic model in this paper. The mean of stochastic heroin model is itself a deterministic solution. The effect of reproduction number has also been observed in the stochastic heroin epidemic model. We have developed some stochastic explicit and implicitly driven explicit methods for this model. But stochastic explicit methods have flopped for certain values of parameters. In support, some theorems and graphical illustrations are presented.

Details

Title
Numerical treatment of stochastic heroin epidemic model
Author
Rafiq, M 1   VIAFID ORCID Logo  ; Raza, Ali 2 ; Iqbal, M Usman 2 ; Butt, Zubair 2 ; Hafiza Anum Naseem 2 ; M Ali Akram 2 ; M Kamran Butt 2 ; Khaliq, Adil 2 ; Qurat-ul-Ain 2 ; Shamrash Azam 2 

1  Faculty of Engineering, University of Central Punjab, Lahore, Pakistan 
2  Faculty of Computing, National College of Business Administration and Economics, Lahore, Pakistan 
Pages
1-17
Publication year
2019
Publication date
Oct 2019
Publisher
Springer Nature B.V.
ISSN
1687-1839
e-ISSN
1687-1847
Source type
Scholarly Journal
Language of publication
English
DOI
https://doi.org/10.1186/s13662-019-2364-1
ProQuest document ID
2305708999
Copyright
Advances in Difference Equations is a copyright of Springer, (2019). All Rights Reserved., © 2019. This work is published under http://creativecommons.org/licenses/by/4.0/ (the “License”). Notwithstanding the ProQuest Terms and Conditions, you may use this content in accordance with the terms of the License.