Fractional Dynamics of Computer Virus Propagation

Bonyah Ebenezer; Nyabadza Farai; Asiedu-Addo Samuel Kwesi

doi:doi:10.11648/j.sjams.20150303.11

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Fractional Dynamics of Computer Virus Propagation

Bonyah Ebenezer, Nyabadza Farai, Asiedu-Addo Samuel Kwesi

Published in Science Journal of Applied Mathematics and Statistics (Volume 3, Issue 3)

Received: 9 March 2015 Accepted: 3 April 2015 Published: 14 April 2015

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Abstract

This paper studies the fractional order model for computer virus in SEIR model. Firstly, the basic reproduction number R0, which determines the threshold of the spread of the virus is determined. The stability of equilibra was also determined and studied. The Adams-Bashforth-Moulton algorithm was employed to solve and simulate the system of differential equations. The results of the simulation depicts that by small change in α led to big change in the associated numerical results.

Published in	Science Journal of Applied Mathematics and Statistics (Volume 3, Issue 3)
DOI	10.11648/j.sjams.20150303.11
Page(s)	63-69
Creative Commons	This is an Open Access article, distributed under the terms of the Creative Commons Attribution 4.0 International License (http://creativecommons.org/licenses/by/4.0/), which permits unrestricted use, distribution and reproduction in any medium or format, provided the original work is properly cited.
Copyright	Copyright © The Author(s), 2015. Published by Science Publishing Group

Keywords

Nonlinear System, Fractional Calculus, Computer Virus Model

References

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APA Style

Bonyah Ebenezer, Nyabadza Farai, Asiedu-Addo Samuel Kwesi. (2015). Fractional Dynamics of Computer Virus Propagation. Science Journal of Applied Mathematics and Statistics, 3(3), 63-69. https://doi.org/10.11648/j.sjams.20150303.11

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ACS Style

Bonyah Ebenezer; Nyabadza Farai; Asiedu-Addo Samuel Kwesi. Fractional Dynamics of Computer Virus Propagation. Sci. J. Appl. Math. Stat. 2015, 3(3), 63-69. doi: 10.11648/j.sjams.20150303.11

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AMA Style

Bonyah Ebenezer, Nyabadza Farai, Asiedu-Addo Samuel Kwesi. Fractional Dynamics of Computer Virus Propagation. Sci J Appl Math Stat. 2015;3(3):63-69. doi: 10.11648/j.sjams.20150303.11

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@article{10.11648/j.sjams.20150303.11,
  author = {Bonyah Ebenezer and Nyabadza Farai and Asiedu-Addo Samuel Kwesi},
  title = {Fractional Dynamics of Computer Virus Propagation},
  journal = {Science Journal of Applied Mathematics and Statistics},
  volume = {3},
  number = {3},
  pages = {63-69},
  doi = {10.11648/j.sjams.20150303.11},
  url = {https://doi.org/10.11648/j.sjams.20150303.11},
  eprint = {https://article.sciencepublishinggroup.com/pdf/10.11648.j.sjams.20150303.11},
  abstract = {This paper studies the fractional order model for computer virus in SEIR model. Firstly, the basic reproduction number R0, which determines the threshold of the spread of the virus is determined. The stability of equilibra was also determined and studied. The Adams-Bashforth-Moulton algorithm was employed to solve and simulate the system of differential equations. The results of the simulation depicts that by small change in α led to big change in the associated numerical results.},
 year = {2015}
}

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TY  - JOUR
T1  - Fractional Dynamics of Computer Virus Propagation
AU  - Bonyah Ebenezer
AU  - Nyabadza Farai
AU  - Asiedu-Addo Samuel Kwesi
Y1  - 2015/04/14
PY  - 2015
N1  - https://doi.org/10.11648/j.sjams.20150303.11
DO  - 10.11648/j.sjams.20150303.11
T2  - Science Journal of Applied Mathematics and Statistics
JF  - Science Journal of Applied Mathematics and Statistics
JO  - Science Journal of Applied Mathematics and Statistics
SP  - 63
EP  - 69
PB  - Science Publishing Group
SN  - 2376-9513
UR  - https://doi.org/10.11648/j.sjams.20150303.11
AB  - This paper studies the fractional order model for computer virus in SEIR model. Firstly, the basic reproduction number R0, which determines the threshold of the spread of the virus is determined. The stability of equilibra was also determined and studied. The Adams-Bashforth-Moulton algorithm was employed to solve and simulate the system of differential equations. The results of the simulation depicts that by small change in α led to big change in the associated numerical results.
VL  - 3
IS  - 3
ER  -

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Author Information

Bonyah Ebenezer

Department of Mathematics and Statistics, Kumasi Polytechnic, Kumasi, Ghana
Nyabadza Farai

Department of Mathematical Science, University of Stellenbosch, Matieland, South Africa
Asiedu-Addo Samuel Kwesi

Department of Mathematics Education, University of Education, Winneba Ghana

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APA Style

Bonyah Ebenezer, Nyabadza Farai, Asiedu-Addo Samuel Kwesi. (2015). Fractional Dynamics of Computer Virus Propagation. Science Journal of Applied Mathematics and Statistics, 3(3), 63-69. https://doi.org/10.11648/j.sjams.20150303.11

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ACS Style

Bonyah Ebenezer; Nyabadza Farai; Asiedu-Addo Samuel Kwesi. Fractional Dynamics of Computer Virus Propagation. Sci. J. Appl. Math. Stat. 2015, 3(3), 63-69. doi: 10.11648/j.sjams.20150303.11

Copy | Download

AMA Style

Bonyah Ebenezer, Nyabadza Farai, Asiedu-Addo Samuel Kwesi. Fractional Dynamics of Computer Virus Propagation. Sci J Appl Math Stat. 2015;3(3):63-69. doi: 10.11648/j.sjams.20150303.11

Copy | Download

@article{10.11648/j.sjams.20150303.11,
  author = {Bonyah Ebenezer and Nyabadza Farai and Asiedu-Addo Samuel Kwesi},
  title = {Fractional Dynamics of Computer Virus Propagation},
  journal = {Science Journal of Applied Mathematics and Statistics},
  volume = {3},
  number = {3},
  pages = {63-69},
  doi = {10.11648/j.sjams.20150303.11},
  url = {https://doi.org/10.11648/j.sjams.20150303.11},
  eprint = {https://article.sciencepublishinggroup.com/pdf/10.11648.j.sjams.20150303.11},
  abstract = {This paper studies the fractional order model for computer virus in SEIR model. Firstly, the basic reproduction number R0, which determines the threshold of the spread of the virus is determined. The stability of equilibra was also determined and studied. The Adams-Bashforth-Moulton algorithm was employed to solve and simulate the system of differential equations. The results of the simulation depicts that by small change in α led to big change in the associated numerical results.},
 year = {2015}
}

Copy | Download

TY  - JOUR
T1  - Fractional Dynamics of Computer Virus Propagation
AU  - Bonyah Ebenezer
AU  - Nyabadza Farai
AU  - Asiedu-Addo Samuel Kwesi
Y1  - 2015/04/14
PY  - 2015
N1  - https://doi.org/10.11648/j.sjams.20150303.11
DO  - 10.11648/j.sjams.20150303.11
T2  - Science Journal of Applied Mathematics and Statistics
JF  - Science Journal of Applied Mathematics and Statistics
JO  - Science Journal of Applied Mathematics and Statistics
SP  - 63
EP  - 69
PB  - Science Publishing Group
SN  - 2376-9513
UR  - https://doi.org/10.11648/j.sjams.20150303.11
AB  - This paper studies the fractional order model for computer virus in SEIR model. Firstly, the basic reproduction number R0, which determines the threshold of the spread of the virus is determined. The stability of equilibra was also determined and studied. The Adams-Bashforth-Moulton algorithm was employed to solve and simulate the system of differential equations. The results of the simulation depicts that by small change in α led to big change in the associated numerical results.
VL  - 3
IS  - 3
ER  -

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