Mathematical Model for Cyber Attack in Computer Network

Abstract

This investigation focuses to develop an e-SEIRS (susceptible, exposed, infectious, recovered) epidemic computer network model to study the transmission of malicious code in a computer network and derive the approximate threshold condition (basic reproduction number) to examine the equilibrium and stability of the model. The authors have simulated the results for various parameters used in the model and Runge-Kutta Fehlberg fourth-fifth order method is employed to solve system of equations developed. They have studied the stability of crime level to equilibrium and found the critical value of threshold value determining whether or not the infectious free equilibrium is globally asymptotically stable and endemic equilibrium is locally asymptotically stable. The simulation results using MATLAB agree with the real life situations.

Examining the Effect of Cyber Twin and Blockchain Technologies for Industrial Applications Using AI

“…In (7) there is necessity to extend sensors during cost calculation because there will be many sensors that work during physical insertion of objects. In industrial applications there will be many sensors for ensuing cyber twin process and in addition weight of each sensor should also be monitored for calculating accurate cost.…”

“…Additionally, mathematical model has been developed by using underlying model of computer networks [7] where seven different layers and their functionality have been defined with equilibrium conditions. Appropriate threshold conditions have been defined after examining the characteristics of computer virus but definition of propagation model is not necessary for IoE networks as the propagation speed is already much higher.…”

“…e major difference in abovementioned methods [7,8] is in terms of numerical and analytical constructions which are well defined with models, examples, and parameters. It is necessary to define some basic mathematical models for mechanists before describing all parametric values [9].…”

“…However high safety measures are not implemented with modernised procedures in all aforementioned recent techniques [17][18][19] even with the presence of physical entities. [1][2][3][4][5][6][7][8][9][10][11][12][13][14][15][16] where there is less security for all geometric models which are integrated with efficient algorithms. Although much literature has examined the concept of cyber twin for various applications, the majority of literature has neglected the convention of real time twin technologies for manufacturing applications.…”

Epidemic Model and Mathematical Study of Impact of Vaccination for the Control of Malware in Computer Network

“…Rao et al [28], developed an e-SEIRS epidemic computer network model to study the transmission of malicious code in a computer network and derived the approximate threshold condition (basic reproduction number) to examine the equilibrium and stability of the model. Kumar et al [29] formed an SEIQRS-V epidemic model of viruses in a computer network.…”