TY - JOUR
T1 - Numerical Approaching of SIR Epidemic Model for Propagation of Computer Worms
AU - Valdez Martinez, Jorge Salvador
AU - Guevara Lopez, Pedro
AU - Audelo Gonzalez, Jesus
AU - Delgado Reyes, Gustavo
N1 - Publisher Copyright:
© 2015 IEEE.
PY - 2015/10
Y1 - 2015/10
N2 - 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.
AB - 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.
KW - Algorithm
KW - Approaching
KW - Computer worm
KW - Epidemic
KW - Simulation
UR - http://www.scopus.com/inward/record.url?scp=84961875773&partnerID=8YFLogxK
U2 - 10.1109/TLA.2015.7387254
DO - 10.1109/TLA.2015.7387254
M3 - Artículo
SN - 1548-0992
VL - 13
SP - 3452
EP - 3460
JO - IEEE Latin America Transactions
JF - IEEE Latin America Transactions
IS - 10
M1 - 7387254
ER -