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Numerical Solution of a System SEIR Nonlinear ODEs by Runge-Kutta Fourth Order Method

by A.A.M. Hassan, S.A. Hoda Ibrahim, Mohamed G.M. Ibrahim
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International Journal of Computer Applications
Foundation of Computer Science (FCS), NY, USA
Volume 124 - Number 3
Year of Publication: 2015
Authors: A.A.M. Hassan, S.A. Hoda Ibrahim, Mohamed G.M. Ibrahim
10.5120/ijca2015903852

A.A.M. Hassan, S.A. Hoda Ibrahim, Mohamed G.M. Ibrahim . Numerical Solution of a System SEIR Nonlinear ODEs by Runge-Kutta Fourth Order Method. International Journal of Computer Applications. 124, 3 ( August 2015), 1-6. DOI=10.5120/ijca2015903852

@article{ 10.5120/ijca2015903852,
author = { A.A.M. Hassan, S.A. Hoda Ibrahim, Mohamed G.M. Ibrahim },
title = { Numerical Solution of a System SEIR Nonlinear ODEs by Runge-Kutta Fourth Order Method },
journal = { International Journal of Computer Applications },
issue_date = { August 2015 },
volume = { 124 },
number = { 3 },
month = { August },
year = { 2015 },
issn = { 0975-8887 },
pages = { 1-6 },
numpages = {9},
url = { https://ijcaonline.org/archives/volume124/number3/22081-2015903852/ },
doi = { 10.5120/ijca2015903852 },
publisher = {Foundation of Computer Science (FCS), NY, USA},
address = {New York, USA}
}
%0 Journal Article
%1 2024-02-06T23:13:22.769080+05:30
%A A.A.M. Hassan
%A S.A. Hoda Ibrahim
%A Mohamed G.M. Ibrahim
%T Numerical Solution of a System SEIR Nonlinear ODEs by Runge-Kutta Fourth Order Method
%J International Journal of Computer Applications
%@ 0975-8887
%V 124
%N 3
%P 1-6
%D 2015
%I Foundation of Computer Science (FCS), NY, USA
Abstract

In this paper, we introduce the numerical solution of the system of SEIR nonlinear ordinary differential equations, which are studied the effect of vaccine on the HIV (Human Immunology virus). We obtained the numerical solutions on stable manifolds by Runge-Kutta fourth order method.

References
  1. L. Bubniakov, the Mathematics of Infectious Diseases, Bratislav 2007.
  2. H. Weiss, the SEIR model and the foundations of public health, Materials Mathematics, vol 3(17), pp. (1887-1097), 2013.
  3. E. F. D. Goufo, S. C. O. Noutchie, and S. Mugisha, a Fractional SEIR Epidemic Model for Spatial and Temporal Spread of Measles in Meta populations, Abstract and Applied Analysis, Vol 7, 2014.
  4. B. S. Desale and N. R. Dasre, Numerical Solution of the System of Six Coupled Nonlinear ODEs by Runge-Kutta Fourth Order Method, Applied Mathematical Sciences, Vol. 7, p(287 - 305),2013.
  5. Z. Kalogiratou, T. Monovasilis and T. E. Simos, Simplistic Runge-Kutta-Nystrom Methods with Phase-Lag Oder 8 and Infinity, Applied Mathematics & Information Sciences, vol. 3,p(1105-1112), 2015.
Index Terms

Computer Science
Information Sciences

Keywords

SEIR model nonlinear ordinary differential equations Runge-Kutta fourth order method.

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