The Experts below are selected from a list of 12405 Experts worldwide ranked by ideXlab platform
Xiaofan Yang - One of the best experts on this subject based on the ideXlab platform.
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the impact of patch forwarding on the prevalence of Computer Virus a theoretical assessment approach
Applied Mathematical Modelling, 2017Co-Authors: Lu-xing Yang, Xiaofan Yang, Yingbo WuAbstract:Abstract Virus patches can be disseminated rapidly through Computer networks and take effect as soon as they have been installed, which significantly enhances their Virus-containing capability. This paper aims to theoretically assess the impact of patch forwarding on the prevalence of Computer Virus. For that purpose, a new malware epidemic model, which takes into full account the influence of patch forwarding, is proposed. The dynamics of the model is revealed. Specifically, besides the permanent susceptible equilibrium, this model may admit an infected or a patched or a mixed equilibrium. Criteria for the global stability of the four equilibria are given, respectively, accompanied with numerical examples. The obtained results show that the spectral radii of the patch-forwarding network and the Virus-spreading network both have a marked impact on the prevalence of Computer Virus. The influence of some key factors on the prevalence of Virus is also revealed. Based on these findings, some strategies of containing electronic Virus are recommended.
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The impact of nonlinear infection rate on the spread of Computer Virus
Nonlinear Dynamics, 2015Co-Authors: Lu-xing Yang, Xiaofan YangAbstract:The dominating majority of previous Computer Virus epidemic models assume a bilinear infection rate. This assumption, however, ignores the fact that, due to reasons such as overcrowded infected nodes and active protection measures taken at a high level of viral prevalence, the infection rate typically rises in a nonlinear fashion. This paper is devoted to understanding the impact of nonlinear infection rate on the propagation of Computer infections. For that purpose, a new Computer Virus epidemic model is proposed by introducing a generic nonlinear infection rate into a traditional SLBS model. Theoretical analysis shows that, under moderate conditions, the proposed model admits a (viral) globally asymptotically stable equilibrium, fully demonstrating the robustness of stability of the equilibrium to the details of infections. The new model is justified through simulation experiments. We also determine the influence of some model parameters on the viral equilibrium. Our results extend some previously known results.
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propagation of Computer Virus both across the internet and external Computers a complex network approach
Communications in Nonlinear Science and Numerical Simulation, 2014Co-Authors: Xiaofan Yang, Chenquan Gan, Wanping Liu, Qingyi Zhu, Jian JinAbstract:Abstract Based on the assumption that external Computers (particularly, infected external Computers) are connected to the Internet, and by considering the influence of the Internet topology on Computer Virus spreading, this paper establishes a novel Computer Virus propagation model with a complex-network approach. This model possesses a unique (viral) equilibrium which is globally attractive. Some numerical simulations are also given to illustrate this result. Further study shows that the Computers with higher node degrees are more susceptible to infection than those with lower node degrees. In this regard, some appropriate protective measures are suggested.
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a propagation model of Computer Virus with nonlinear vaccination probability
Communications in Nonlinear Science and Numerical Simulation, 2014Co-Authors: Xiaofan Yang, Chenquan Gan, Wanping Liu, Qingyi ZhuAbstract:Abstract This paper is intended to examine the effect of vaccination on the spread of Computer Viruses. For that purpose, a novel Computer Virus propagation model, which incorporates a nonlinear vaccination probability, is proposed. A qualitative analysis of this model reveals that, depending on the value of the basic reproduction number, either the Virus-free equilibrium or the viral equilibrium is globally asymptotically stable. The results of simulation experiments not only demonstrate the validity of our model, but also show the effectiveness of nonlinear vaccination strategies. Through parameter analysis, some effective strategies for eradicating Viruses are suggested.
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the spread of Computer Virus under the effect of external Computers
Nonlinear Dynamics, 2013Co-Authors: Xiaofan Yang, Chenquan Gan, Qingyi Zhu, Jian JinAbstract:In reality, the external Computers, in particular, external infected Computers are connected to the Internet. Based on this reasonable assumption, a new Computer Virus propagation model is established. Different from all the previous models, this model regards the external Computers as a single compartment to study. Through a qualitative analysis, it is found that (1) this model possesses a unique (viral) equilibrium, and (2) this equilibrium is globally asymptotically stable. Further study shows that, by taking effective measures, the number of infected Computers can be made below an acceptable threshold.
Qingyi Zhu - One of the best experts on this subject based on the ideXlab platform.
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propagation of Computer Virus both across the internet and external Computers a complex network approach
Communications in Nonlinear Science and Numerical Simulation, 2014Co-Authors: Xiaofan Yang, Chenquan Gan, Wanping Liu, Qingyi Zhu, Jian JinAbstract:Abstract Based on the assumption that external Computers (particularly, infected external Computers) are connected to the Internet, and by considering the influence of the Internet topology on Computer Virus spreading, this paper establishes a novel Computer Virus propagation model with a complex-network approach. This model possesses a unique (viral) equilibrium which is globally attractive. Some numerical simulations are also given to illustrate this result. Further study shows that the Computers with higher node degrees are more susceptible to infection than those with lower node degrees. In this regard, some appropriate protective measures are suggested.
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a propagation model of Computer Virus with nonlinear vaccination probability
Communications in Nonlinear Science and Numerical Simulation, 2014Co-Authors: Xiaofan Yang, Chenquan Gan, Wanping Liu, Qingyi ZhuAbstract:Abstract This paper is intended to examine the effect of vaccination on the spread of Computer Viruses. For that purpose, a novel Computer Virus propagation model, which incorporates a nonlinear vaccination probability, is proposed. A qualitative analysis of this model reveals that, depending on the value of the basic reproduction number, either the Virus-free equilibrium or the viral equilibrium is globally asymptotically stable. The results of simulation experiments not only demonstrate the validity of our model, but also show the effectiveness of nonlinear vaccination strategies. Through parameter analysis, some effective strategies for eradicating Viruses are suggested.
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the spread of Computer Virus under the effect of external Computers
Nonlinear Dynamics, 2013Co-Authors: Xiaofan Yang, Chenquan Gan, Qingyi Zhu, Jian JinAbstract:In reality, the external Computers, in particular, external infected Computers are connected to the Internet. Based on this reasonable assumption, a new Computer Virus propagation model is established. Different from all the previous models, this model regards the external Computers as a single compartment to study. Through a qualitative analysis, it is found that (1) this model possesses a unique (viral) equilibrium, and (2) this equilibrium is globally asymptotically stable. Further study shows that, by taking effective measures, the number of infected Computers can be made below an acceptable threshold.
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modeling and analysis of the spread of Computer Virus
Communications in Nonlinear Science and Numerical Simulation, 2012Co-Authors: Qingyi Zhu, Xiaofan Yang, Jianguo RenAbstract:Abstract Based on a set of reasonable assumptions, we propose a novel dynamical model describing the spread of Computer Virus. Through qualitative analysis, we give a threshold and prove that (1) the infection-free equilibrium is globally asymptotically stable if the threshold is less than one, implying that the Virus would eventually die out, and (2) the infection equilibrium is globally asymptotically stable if the threshold is greater than one. Two numerical examples are presented to demonstrate the analytical results.
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optimal control of Computer Virus under a delayed model
Applied Mathematics and Computation, 2012Co-Authors: Qingyi Zhu, Lu-xing Yang, Xiaofan Yang, Chunming ZhangAbstract:This paper addresses the issue of how to suppress the spread of Computer Virus by means of the optimal control method. First, a controlled delayed Computer Virus spread model is established. Second, an optimal control problem is formulated by making a tradeoff between the control cost and the control effect. Third, the optimal control strategies are theoretically investigated. Finally, it is experimentally shown that the spread of infected nodes can be suppressed effectively by adopting an optimal control strategy.
Lu-xing Yang - One of the best experts on this subject based on the ideXlab platform.
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the impact of patch forwarding on the prevalence of Computer Virus a theoretical assessment approach
Applied Mathematical Modelling, 2017Co-Authors: Lu-xing Yang, Xiaofan Yang, Yingbo WuAbstract:Abstract Virus patches can be disseminated rapidly through Computer networks and take effect as soon as they have been installed, which significantly enhances their Virus-containing capability. This paper aims to theoretically assess the impact of patch forwarding on the prevalence of Computer Virus. For that purpose, a new malware epidemic model, which takes into full account the influence of patch forwarding, is proposed. The dynamics of the model is revealed. Specifically, besides the permanent susceptible equilibrium, this model may admit an infected or a patched or a mixed equilibrium. Criteria for the global stability of the four equilibria are given, respectively, accompanied with numerical examples. The obtained results show that the spectral radii of the patch-forwarding network and the Virus-spreading network both have a marked impact on the prevalence of Computer Virus. The influence of some key factors on the prevalence of Virus is also revealed. Based on these findings, some strategies of containing electronic Virus are recommended.
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The impact of nonlinear infection rate on the spread of Computer Virus
Nonlinear Dynamics, 2015Co-Authors: Lu-xing Yang, Xiaofan YangAbstract:The dominating majority of previous Computer Virus epidemic models assume a bilinear infection rate. This assumption, however, ignores the fact that, due to reasons such as overcrowded infected nodes and active protection measures taken at a high level of viral prevalence, the infection rate typically rises in a nonlinear fashion. This paper is devoted to understanding the impact of nonlinear infection rate on the propagation of Computer infections. For that purpose, a new Computer Virus epidemic model is proposed by introducing a generic nonlinear infection rate into a traditional SLBS model. Theoretical analysis shows that, under moderate conditions, the proposed model admits a (viral) globally asymptotically stable equilibrium, fully demonstrating the robustness of stability of the equilibrium to the details of infections. The new model is justified through simulation experiments. We also determine the influence of some model parameters on the viral equilibrium. Our results extend some previously known results.
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a novel Computer Virus propagation model and its dynamics
International Journal of Computer Mathematics, 2012Co-Authors: Lu-xing Yang, Xiaofan Yang, Luosheng Wen, Jiming LiuAbstract:By taking into account the fact that, in general, a Computer immediately possesses infectivity as soon as it is infected, a novel Computer Virus propagation model, known as the SLBS model, is established. It is proved that the dynamic behaviour of the model is determined by a threshold R 0. Specifically, the Virus-free equilibrium is globally asymptotically stable if R 0≤1, whereas the virulent equilibrium is globally asymptotically stable if 1 R 0≤4. It is conjectured that the virulent equilibrium is also globally asymptotically stable if R 0>4. These results suggest some effective strategies for eradicating Computer Viruses distributed in the Internet.
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optimal control of Computer Virus under a delayed model
Applied Mathematics and Computation, 2012Co-Authors: Qingyi Zhu, Lu-xing Yang, Xiaofan Yang, Chunming ZhangAbstract:This paper addresses the issue of how to suppress the spread of Computer Virus by means of the optimal control method. First, a controlled delayed Computer Virus spread model is established. Second, an optimal control problem is formulated by making a tradeoff between the control cost and the control effect. Third, the optimal control strategies are theoretically investigated. Finally, it is experimentally shown that the spread of infected nodes can be suppressed effectively by adopting an optimal control strategy.
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a novel Computer Virus model and its dynamics
Nonlinear Analysis-real World Applications, 2012Co-Authors: Jianguo Ren, Lu-xing Yang, Xiaofan Yang, Qingyi Zhu, Chunming ZhangAbstract:Abstract In this paper, we propose a novel Computer Virus propagation model and study its dynamic behaviors; to our knowledge, this is the first time the effect of anti-Virus ability has been taken into account in this way. In this context, we give the threshold for determining whether the Virus dies out completely. Then, we study the existence of equilibria, and analyze their local and global asymptotic stability. Next, we find that, depending on the anti-Virus ability, a backward bifurcation or a Hopf bifurcation may occur. Finally, we show that under appropriate conditions, bistable states may be around. Numerical results illustrate some typical phenomena that may occur in the Virus propagation over Computer network.
Chenquan Gan - One of the best experts on this subject based on the ideXlab platform.
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propagation of Computer Virus both across the internet and external Computers a complex network approach
Communications in Nonlinear Science and Numerical Simulation, 2014Co-Authors: Xiaofan Yang, Chenquan Gan, Wanping Liu, Qingyi Zhu, Jian JinAbstract:Abstract Based on the assumption that external Computers (particularly, infected external Computers) are connected to the Internet, and by considering the influence of the Internet topology on Computer Virus spreading, this paper establishes a novel Computer Virus propagation model with a complex-network approach. This model possesses a unique (viral) equilibrium which is globally attractive. Some numerical simulations are also given to illustrate this result. Further study shows that the Computers with higher node degrees are more susceptible to infection than those with lower node degrees. In this regard, some appropriate protective measures are suggested.
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a propagation model of Computer Virus with nonlinear vaccination probability
Communications in Nonlinear Science and Numerical Simulation, 2014Co-Authors: Xiaofan Yang, Chenquan Gan, Wanping Liu, Qingyi ZhuAbstract:Abstract This paper is intended to examine the effect of vaccination on the spread of Computer Viruses. For that purpose, a novel Computer Virus propagation model, which incorporates a nonlinear vaccination probability, is proposed. A qualitative analysis of this model reveals that, depending on the value of the basic reproduction number, either the Virus-free equilibrium or the viral equilibrium is globally asymptotically stable. The results of simulation experiments not only demonstrate the validity of our model, but also show the effectiveness of nonlinear vaccination strategies. Through parameter analysis, some effective strategies for eradicating Viruses are suggested.
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the spread of Computer Virus under the effect of external Computers
Nonlinear Dynamics, 2013Co-Authors: Xiaofan Yang, Chenquan Gan, Qingyi Zhu, Jian JinAbstract:In reality, the external Computers, in particular, external infected Computers are connected to the Internet. Based on this reasonable assumption, a new Computer Virus propagation model is established. Different from all the previous models, this model regards the external Computers as a single compartment to study. Through a qualitative analysis, it is found that (1) this model possesses a unique (viral) equilibrium, and (2) this equilibrium is globally asymptotically stable. Further study shows that, by taking effective measures, the number of infected Computers can be made below an acceptable threshold.
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propagation of Computer Virus under human intervention a dynamical model
Discrete Dynamics in Nature and Society, 2012Co-Authors: Chenquan Gan, Xiaofan Yang, Wanping Liu, Qingyi Zhu, Xulong ZhangAbstract:This paper examines the propagation behavior of Computer Virus under human intervention. A dynamical model describing the spread of Computer Virus, under which a susceptible Computer can become recovered directly and an infected Computer can become susceptible directly, is proposed. Through a qualitative analysis of this model, it is found that the Virus-free equilibrium is globally asymptotically stable when the basic reproduction number
Jianguo Ren - One of the best experts on this subject based on the ideXlab platform.
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modeling and analysis of the spread of Computer Virus
Communications in Nonlinear Science and Numerical Simulation, 2012Co-Authors: Qingyi Zhu, Xiaofan Yang, Jianguo RenAbstract:Abstract Based on a set of reasonable assumptions, we propose a novel dynamical model describing the spread of Computer Virus. Through qualitative analysis, we give a threshold and prove that (1) the infection-free equilibrium is globally asymptotically stable if the threshold is less than one, implying that the Virus would eventually die out, and (2) the infection equilibrium is globally asymptotically stable if the threshold is greater than one. Two numerical examples are presented to demonstrate the analytical results.
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a novel Computer Virus model and its dynamics
Nonlinear Analysis-real World Applications, 2012Co-Authors: Jianguo Ren, Lu-xing Yang, Xiaofan Yang, Qingyi Zhu, Chunming ZhangAbstract:Abstract In this paper, we propose a novel Computer Virus propagation model and study its dynamic behaviors; to our knowledge, this is the first time the effect of anti-Virus ability has been taken into account in this way. In this context, we give the threshold for determining whether the Virus dies out completely. Then, we study the existence of equilibria, and analyze their local and global asymptotic stability. Next, we find that, depending on the anti-Virus ability, a backward bifurcation or a Hopf bifurcation may occur. Finally, we show that under appropriate conditions, bistable states may be around. Numerical results illustrate some typical phenomena that may occur in the Virus propagation over Computer network.
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a delayed Computer Virus propagation model and its dynamics
Chaos Solitons & Fractals, 2012Co-Authors: Jianguo Ren, Lu-xing Yang, Xiaofan Yang, Fanzhou YangAbstract:In this paper, we propose a delayed Computer Virus propagation model and study its dynamic behaviors. First, we give the threshold value R0 determining whether the Virus dies out completely. Second, we study the local asymptotic stability of the equilibria of this model and it is found that, depending on the time delays, a Hopf bifurcation may occur in the model. Next, we prove that, if R0 = 1, the Virus-free equilibrium is globally attractive; and when R0 < 1, it is globally asymptotically stable. Finally, a sufficient criterion for the global stability of the Virus equilibrium is obtained.
