scholarly journals A Stochastic Dynamic Model of Computer Viruses

2012 ◽  
Vol 2012 ◽  
pp. 1-16 ◽  
Author(s):  
Chunming Zhang ◽  
Yun Zhao ◽  
Yingjiang Wu ◽  
Shuwen Deng
Keyword(s):  
Numerical Simulations ◽  
Dynamic Behavior ◽  
Existence And Uniqueness ◽  
Lyapunov Functions ◽  
Computer Virus ◽  
Stochastic Dynamic ◽  
Virus Spread ◽  
Computer Viruses ◽  
Spread Model ◽  
The Stability

A stochastic computer virus spread model is proposed and its dynamic behavior is fully investigated. Specifically, we prove the existence and uniqueness of positive solutions, and the stability of the virus-free equilibrium and viral equilibrium by constructing Lyapunov functions and applying Ito's formula. Some numerical simulations are finally given to illustrate our main results.

scholarly journals An Impulse Model for Computer Viruses

2012 ◽  
Vol 2012 ◽  
pp. 1-13 ◽  
Author(s):  
Chunming Zhang ◽  
Yun Zhao ◽  
Yingjiang Wu
Keyword(s):  
Periodic Solution ◽  
Control Strategy ◽  
Impulsive Control ◽  
Vaccination Rate ◽  
Computer Virus ◽  
Virus Spread ◽  
Computer Viruses ◽  
Spread Model ◽  
Impulsive Control Strategy ◽  
Globally Attractive

Computer virus spread model concerning impulsive control strategy is proposed and analyzed. We prove that there exists a globally attractive infection-free periodic solution when the vaccination rate is larger thanθ0. Moreover, we show that the system is uniformly persistent if the vaccination rate is less thanθ1. Some numerical simulations are finally given to illustrate the main results.

scholarly journals A Fractional SAIDR Model in the Frame of Atangana–Baleanu Derivative

2021 ◽  
Vol 5 (2) ◽  
pp. 32
Author(s):  
Esmehan Uçar ◽  
Sümeyra Uçar ◽  
Fırat Evirgen ◽  
Necati Özdemir
Keyword(s):  
Existence And Uniqueness ◽  
Laplace Transformation ◽  
Cell Phones ◽  
Mobile Network ◽  
The Other ◽  
Banach Fixed Point Theorem ◽  
Propagation Models ◽  
Computer Worms ◽  
Computer Viruses ◽  
The Stability

It is possible to produce mobile phone worms, which are computer viruses with the ability to command the running of cell phones by taking advantage of their flaws, to be transmitted from one device to the other with increasing numbers. In our day, one of the services to gain currency for circulating these malignant worms is SMS. The distinctions of computers from mobile devices render the existing propagation models of computer worms unable to start operating instantaneously in the mobile network, and this is particularly valid for the SMS framework. The susceptible–affected–infectious–suspended–recovered model with a classical derivative (abbreviated as SAIDR) was coined by Xiao et al., (2017) in order to correctly estimate the spread of worms by means of SMS. This study is the first to implement an Atangana–Baleanu (AB) derivative in association with the fractional SAIDR model, depending upon the SAIDR model. The existence and uniqueness of the drinking model solutions together with the stability analysis are shown through the Banach fixed point theorem. The special solution of the model is investigated using the Laplace transformation and then we present a set of numeric graphics by varying the fractional-order θ with the intention of showing the effectiveness of the fractional derivative.

Computer Virus Models and Analysis in M-Health IT Systems

2016 ◽  
pp. 284-297 ◽  
Author(s):  
Stelios Zimeras
Keyword(s):  
Health Systems ◽  
Computer Virus ◽  
The Internet ◽  
Virus Spread ◽  
Health It ◽  
Epidemiological Models ◽  
Computer Viruses ◽  
It Systems ◽  
Animal Populations ◽  
Long Time

Computer viruses have been studied for a long time both by the research and by the application communities. As computer networks and the Internet became more popular from the late 1980s on, viruses quickly evolved to be able to spread through the Internet by various means such as file downloading, email, exploiting security holes in software, etc. Epidemiological models have traditionally been used to understand and predict the outcome of virus outbreaks in human or animal populations. However, the same models were recently applied to the analysis of computer virus epidemics. In this work we present various computer virus spread models combined with applications to e-health systems.

scholarly journals Stationary distribution of a stochastic SIRD epidemic model of Ebola with double saturated incidence rates and vaccination

2019 ◽  
Vol 2019 (1) ◽  
Author(s):  
Panpan Wang ◽  
Jianwen Jia
Keyword(s):  
Stochastic Model ◽  
Numerical Simulations ◽  
Positive Solution ◽  
Stationary Distribution ◽  
Epidemic Model ◽  
Existence And Uniqueness ◽  
Lyapunov Functions ◽  
Incidence Rates ◽  
Saturated Incidence ◽  
Global Positive Solution

Abstract In this paper, a stochastic SIRD model of Ebola with double saturated incidence rates and vaccination is considered. Firstly, the existence and uniqueness of a global positive solution are obtained. Secondly, by constructing suitable Lyapunov functions and using Khasminskii’s theory, we show that the stochastic model has a unique stationary distribution. Moreover, the extinction of the disease is also analyzed. Finally, numerical simulations are carried out to portray the analytical results.

scholarly journals INVESTIGATION OF STATIONARY SOLUTIONS OF VISCOELASTIC MELT SPINNING EQUATIONS AND STABILITY WITH RESPECT TO INCREASING VISCOELASTICITY

2010 ◽  
Vol 15 (3) ◽  
pp. 287-298 ◽  
Author(s):  
R. Dhadwal ◽  
S. K. Kudtarkar
Keyword(s):  
Constitutive Equation ◽  
Numerical Simulations ◽  
Existence And Uniqueness ◽  
Melt Spinning ◽  
Stationary Solutions ◽  
Model Parameter ◽  
One Dimensional ◽  
Spinning Process ◽  
The Stability ◽  
The One

The one‐dimensional equations governing the formation of viscoelastic fibers using Giesekus constitutive equation were studied. Existence and uniqueness of stationary solutions was shown and relation between the stress at the spinneret and the take‐up velocity was found. Further, the value of the Giesekus model parameter for which the fibre exhibits Newtonian behaviour was found analytically. Using numerical simulations it was shown that below this value of the parameter the fluid shows extension thickening behaviour and above, extension thinning. In this context, by simulating the non‐stationary equations the effect of viscoelasticity on the stability of the spinning process was studied.

Design of robots driven by linear servo systems

Robotica ◽  
1992 ◽  
Vol 10 (4) ◽  
pp. 361-368 ◽  
Author(s):  
P. Minotti ◽  
P. Pracht
Keyword(s):  
Numerical Simulations ◽  
Control Systems ◽  
Dynamic Behavior ◽  
Robotic Manipulators ◽  
Control Problems ◽  
Servo Systems ◽  
Dynamic Decoupling ◽  
Non Linear ◽  
The Stability

SUMMARYThe performance of robotic manipulators is limited by the nature of the control systems which do not satisfactorily integrate the non-linear phenomena associated with the dynamic behavior of the mechanisms. The significant variations in the axial inertias lead to control problems and require an optimization of the mechanical structures in order to improve the stability of the manipulators. This paper proposes mechanical solutions in the domain of dynamic decoupling of robots and demonstrates, using numerical simulations the value of these solutions in terms of control.

scholarly journals Analysis of a Model for Computer Virus Transmission

2015 ◽  
Vol 2015 ◽  
pp. 1-10 ◽  
Author(s):  
Peng Qin
Keyword(s):  
Theoretical Basis ◽  
Computer Network ◽  
Equilibrium Points ◽  
Virus Transmission ◽  
Computer Virus ◽  
Stability Conditions ◽  
Computer Viruses ◽  
Virus Model ◽  
The Stability ◽  
Disease Free

Computer viruses remain a significant threat to computer networks. In this paper, the incorporation of new computers to the network and the removing of old computers from the network are considered. Meanwhile, the computers are equipped with antivirus software on the computer network. The computer virus model is established. Through the analysis of the model, disease-free and endemic equilibrium points are calculated. The stability conditions of the equilibria are derived. To illustrate our theoretical analysis, some numerical simulations are also included. The results provide a theoretical basis to control the spread of computer virus.

scholarly journals Dynamic Behaviors and the Equivalent Realization of a Novel Fractional-Order Memristor-Based Chaotic Circuit

Complexity ◽  
2018 ◽  
Vol 2018 ◽  
pp. 1-13 ◽  
Author(s):  
Ningning Yang ◽  
Cheng Xu ◽  
Chaojun Wu ◽  
Rong Jia ◽  
Chongxin Liu
Keyword(s):  
Numerical Simulations ◽  
Dynamic Behavior ◽  
Fractional Order ◽  
Equilibrium Points ◽  
Dynamical Behavior ◽  
Great Influence ◽  
Equivalent Circuits ◽  
Chaotic Circuit ◽  
Undetermined Coefficient ◽  
The Stability

This paper proposed a novel fractional-order memristor-based chaotic circuit. A memristive diode bridge cascaded with a fractional-order RL filter constitutes the generalized fractional-order memristor. The mathematical model of the proposed fractional-order chaotic circuit is established by extending the nonlinear capacitor and inductor in the memristive chaotic circuit to the fractional order. Detailed theoretical analysis and numerical simulations are carried out on the dynamic behavior of the proposed circuit by investigating the stability of equilibrium points and the influence of circuit parameters on bifurcations. The results show that the order of the fractional-order circuit has a great influence on the dynamical behavior of the system. The system may exhibit complicated nonlinear dynamic behavior such as bifurcation and chaos with the change of the order. The equivalent circuits of the fractional-order inductor and capacitor are also given in the paper, and the parameters of the equivalent circuits are solved by an undetermined coefficient method. Circuit simulations of the equivalent fractional-order memristive chaotic circuit are carried out in order to validate the correctness of numerical simulations and the practicability of using the integer-order equivalent circuit to substitute the fractional-order element.

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