DocumentCode :
3613149
Title :
Numerical Approaching of SIR Epidemic Model for Propagation of Computer Worms
Author :
Valdez, J.S. ; Guevara, P. ; Audelo, J. ; Delgado, G.
Author_Institution :
Univ. Tecnol. “Emiliano Zapata”, Emiliano Zapata, Mexico
Volume :
13
Issue :
10
fYear :
2015
Firstpage :
3452
Lastpage :
3460
Abstract :
In this paper we analyzed the model susceptible-infected-recovered (SIR); this model is based on differential equations, in this sense it cannot be implemented directly on a computer, in this context as motivation of the study presented, we propose an approximate model based on finite difference equations to achieve a simulation of the epidemic, using for this set theory and cardinality obtaining an iterative numerical method which consists on basics arithmetic operations, in addition, to be an approximate model, it will present an error due to truncation or rounding. At the end of this paper it is presented a case of study developed in SIMULINK of MATLAB software, and the results of the model based on difference equations.
Keywords :
approximation theory; differential equations; invasive software; numerical analysis; MATLAB software; SIMULINK software; SIR epidemic model; approximate model; arithmetic operations; computer worm propagation; differential equations; finite difference equations; iterative numerical method; numerical approaching; susceptible infected recovered; Analytical models; Biological system modeling; Computational modeling; Context modeling; Erbium; Mathematical model; Numerical models; Algorithm; Approaching; Computer worm; Epidemic; Simulation;
fLanguage :
English
Journal_Title :
Latin America Transactions, IEEE (Revista IEEE America Latina)
Publisher :
ieee
ISSN :
1548-0992
Type :
jour
DOI :
10.1109/TLA.2015.7387254
Filename :
7387254
Link To Document :
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