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Reseach Article

Framework of Infective Susceptible Phase Plane Analysis of SIR Model

by N. Suresh Rao
International Journal of Computer Applications
Foundation of Computer Science (FCS), NY, USA
Volume 65 - Number 2
Year of Publication: 2013
Authors: N. Suresh Rao
10.5120/10900-5825

N. Suresh Rao . Framework of Infective Susceptible Phase Plane Analysis of SIR Model. International Journal of Computer Applications. 65, 2 ( March 2013), 46-51. DOI=10.5120/10900-5825

@article{ 10.5120/10900-5825,
author = { N. Suresh Rao },
title = { Framework of Infective Susceptible Phase Plane Analysis of SIR Model },
journal = { International Journal of Computer Applications },
issue_date = { March 2013 },
volume = { 65 },
number = { 2 },
month = { March },
year = { 2013 },
issn = { 0975-8887 },
pages = { 46-51 },
numpages = {9},
url = { https://ijcaonline.org/archives/volume65/number2/10900-5825/ },
doi = { 10.5120/10900-5825 },
publisher = {Foundation of Computer Science (FCS), NY, USA},
address = {New York, USA}
}
%0 Journal Article
%1 2024-02-06T21:17:39.063837+05:30
%A N. Suresh Rao
%T Framework of Infective Susceptible Phase Plane Analysis of SIR Model
%J International Journal of Computer Applications
%@ 0975-8887
%V 65
%N 2
%P 46-51
%D 2013
%I Foundation of Computer Science (FCS), NY, USA
Abstract

In the present article an attempt is made to understand the Infected-Susceptible phase plane trajectories, describing the growth of virus in the model of Susceptible, Infected, and Removed (SIR) extended to immigration studies. The growth of virus is described by second order differential equation, in terms of small deviations from the steady state solution of infection. Further the situation for discriminator = 0, obtained in solving the second order differential equation, is described. In this analysis the free parameter, defined in terms of immigrant rate, birth and death rates of virus, is shown to play an important role in the shape of the trajectories in I_S Phase plane. For same values of immigration rate, birth and death rates of virus, all the trajectories approach asymptotically the stable equilibrium point (ratio of death to birth rate of virus, ratio of constant immigration rate to death rate of virus), which is termed as a nodal sink. The effect of different parameters such as size of system of computers, death and birth rates of virus and threshold value of the epidemic on the growth of virus is presented.

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Index Terms

Computer Science
Information Sciences

Keywords

Immigration SIR model I-S phase plane Virus growth birth and death rates 2nd order Differential Equations