A SIR e-Epidemic Model for Computer Worms Based on Cellular Automata

We analyze a spatial susceptible-infected epidemic model using cellular automata and investigate the relations between the power-law distribution of patch sizes and the regime of invasion. The obtained results show that, when the invasion is in the form of coexistence of stable target and spiral wave, power-law will emerge, which may provide a new insight into the control of disease.

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Numerical Approaching of SIR Epidemic Model for Propagation of Computer Worms

IEEE Latin America Transactions ◽

10.1109/tla.2015.7387254 ◽

2015 ◽

Vol 13 (10) ◽

pp. 3452-3460 ◽

Cited By ~ 3

Author(s):

J.S. Valdez ◽

P. Guevara ◽

J. Audelo ◽

G. Delgado

Keyword(s):

Epidemic Model ◽

Sir Epidemic Model ◽

Computer Worms ◽

Sir Epidemic

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A DISCRETE MATHEMATICAL MODEL TO SIMULATE MALWARE SPREADING

International Journal of Modern Physics C ◽

10.1142/s0129183112500647 ◽

2012 ◽

Vol 23 (10) ◽

pp. 1250064 ◽

Cited By ~ 3

Author(s):

A. MARTIN DEL REY ◽

G. RODRIGUEZ SÁNCHEZ

Keyword(s):

Mathematical Model ◽

Cellular Automata ◽

Scientific Literature ◽

Great Majority ◽

Computer Virus ◽

Mathematical Epidemiology ◽

Computer Worms ◽

Malware Propagation ◽

Discrete Mathematical Model ◽

And Control

With the advent and worldwide development of Internet, the study and control of malware spreading has become very important. In this sense, some mathematical models to simulate malware propagation have been proposed in the scientific literature, and usually they are based on differential equations exploiting the similarities with mathematical epidemiology. The great majority of these models study the behavior of a particular type of malware called computer worms; indeed, to the best of our knowledge, no model has been proposed to simulate the spreading of a computer virus (the traditional type of malware which differs from computer worms in several aspects). In this sense, the purpose of this work is to introduce a new mathematical model not based on continuous mathematics tools but on discrete ones, to analyze and study the epidemic behavior of computer virus. Specifically, cellular automata are used in order to design such model.

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An Epidemic Model with Isolated Intervention Based on Cellular Automata

Advanced Materials Research ◽

10.4028/www.scientific.net/amr.926-930.1065 ◽

2014 ◽

Vol 926-930 ◽

pp. 1065-1068 ◽

Cited By ~ 2

Author(s):

Xin Xin Tan ◽

Shu Juan Li ◽

Qin Wu Dai ◽

Jia Tai Gang

Keyword(s):

Random Walk ◽

Cellular Automata ◽

Epidemic Model ◽

Simulation Modeling ◽

Disease Duration ◽

Theoretical Support ◽

The Government ◽

And Control ◽

The Impact

This paper presents a simulation modeling of epidemic with the isolated intervention based on the theory of Cellular Automata, which is considering the heterogeneity and mobility of the individuals. An idea of the random walk Cellular Automata is used to reflecting the characteristics of the mobility of individuals, by defining the proportion and the largest step of individuals’ movement. What’s more, the model simulates the impact of the disease duration and the isolated intensity on the spreading of epidemic, and the simulation result is coincidence with the macroscopic characteristics of epidemic controlled by isolation intervention. It offers powerful theoretical support for the government to prevent and control the spread of epidemic.

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