On the Optimal Dynamic Control Strategy of Disruptive Computer Virus

Bi, Jichao; Yang, Xin‐She; Wu, Yingbo; Xiong, Qingyu; Wen, Junhao; Tang, Yuan Yan

doi:10.1155/2017/8390784

Cited by 20 publications

(9 citation statements)

References 57 publications

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“…In real-world applications, a rumor-containing strategy may well be adjusted flexibly to achieve a higher cost effectiveness. In this context, a more cost-effective rumor-containing strategy should be figured out in the framework of optimal control theory [71][72][73][74][75]. Even further, both the rumor-spreading strategy and the rumorcontaining strategy may vary over time.…”

Section: Discussionmentioning

confidence: 99%

An effective rumor-containing strategy

Pan

Yang

et al. 2018

Physica A: Statistical Mechanics and its Applications

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False rumors can lead to huge economic losses or/and social instability. Hence, mitigating the impact of bogus rumors is of primary importance. This paper focuses on the problem of how to suppress a false rumor by use of the truth. Based on a set of rational hypotheses and a novel rumor-truth mixed spreading model, the effectiveness and cost of a rumor-containing strategy are quantified, respectively. On this basis, the original problem is modeled as a constrained optimization problem (the RC model), in which the independent variable and the objective function represent a rumor-containing strategy and the effectiveness of a rumor-containing strategy, respectively. The goal of the optimization problem is to find the most effective rumor-containing strategy subject to a limited rumor-containing budget. Some optimal rumor-containing strategies are given by solving their respective RC models. The influence of different factors on the highest cost effectiveness of a RC model is illuminated through computer experiments. The results obtained are instructive to develop effective rumor-containing strategies. equation. Due to the exact modeling and the perfect accommodation of the network topology, this model characterizes the SIS epidemics more accurately as compared with all previous SIS models. Moreover, this model is analytically tractable, resulting in profound conclusions. In recent years, this individual-based modeling approach has been widely applied to areas such as epidemic spreading [42][43][44], malware propagation [45][46][47][48][49][50][51][52], cyber security [53][54][55][56][57], and message transmission [58]. To our knowledge, to date the rumor-containing problem has not yet been studied under individual-level rumor spreading models.Clarifying rumors by releasing truths is a common way to inhibit rumors [59,60]. In this context, every individual may choose to believe the rumor or believe the truth or be uncertain. This paper focuses on the problem of how to inhibit a false rumor by use of the truth. Based on a novel individual-level rumor-truth mixed spreading model, the effectiveness and cost of a rumor-containing strategy are quantified. Thereby, the original problem is modeled as a constrained optimization problem (the rumor-containing (RC) model), in which the independent variable and the objective function represent a rumor-containing strategy and the effectiveness of a rumor-containing strategy, respectively. The goal of the optimization problem is to find the most effective rumor-containing strategy subject to a limited rumor-containing budget. Some optimal rumor-containing strategies are given by solving their respective RC models. The influence of different factors on the highest cost effectiveness of a RC model is uncovered through computer simulations. These results are condusive to the design of practical rumor-containing strategies. To our knowledge, this is the first time the rumor-containing problem is treated in this way.The subsequent materials of this work are organized in this fashion: ...

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Section: Discussionmentioning

confidence: 99%

An effective rumor-containing strategy

Pan

Yang

et al. 2018

Physica A: Statistical Mechanics and its Applications

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“…Optimal control theory [29,30] provides a powerful tool for studying the problem of how to contain the prevalence of computer virus in a cost-effective way [31][32][33][34][35]. In view of the defects of the research approach used in [27], in this paper we deal with the VPT problem through optimal control approach.…”

Section: Related Workmentioning

confidence: 99%

Seeking Best-Balanced Patch-Injecting Strategies through Optimal Control Approach

Huang

Yang

et al. 2019

Security and Communication Networks

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To restrain escalating computer viruses, new virus patches must be constantly injected into networks. In this scenario, the patch-developing cost should be balanced against the negative impact of virus. This article focuses on seeking best-balanced patch-injecting strategies. First, based on a novel virus-patch interactive model, the original problem is reduced to an optimal control problem, in which (a) each admissible control stands for a feasible patch-injecting strategy and (b) the objective functional measures the balance of a feasible patch-injecting strategy. Second, the solvability of the optimal control problem is proved, and the optimality system for solving the problem is derived. Next, a few best-balanced patch-injecting strategies are presented by solving the corresponding optimality systems. Finally, the effects of some factors on the best balance of a patch-injecting strategy are examined. Our results will be helpful in defending against virus attacks in a cost-effective way.

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“…Consequently, there are two main concerns related to the propagation of computer virus and malwares: estimating the economic losses [4][5][6][7][8] and developing security and safety strategies [9]. us, a new important branch of computer science has been developed, cybernetic security, having as one of its approaches to build mathematical models, related to the dynamic operation of the systems [10].…”

Section: Introductionmentioning

confidence: 99%

Considering Quarantine in the SIRA Malware Propagation Model

Piqueira

Batistela

2019

Mathematical Problems in Engineering

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As the beginning of the 21 st century was marked by a strong development in data science and, consequently, in computer networks, models for designing preventive actions against intruding, data stealing, and destruction became mandatory. Following this line, several types of epidemiological models have been developed and improved, considering different operational approaches. e development of the research line using traditional SIR(Susceptible, Infected, Removed) model for data networks started in the 1990s. In 2005, an epidemiological compartmental model containing antidotal nodes, SIRA (Susceptible, Infected, Removed, Antidotal), was introduced to study how the antivirus policies affect the network reliability. e idea here is to study the consequence of quarantine actions in a network by modifying the SIRA model, introducing quarantine nodes generating the SIQRA (Susceptible, Infected, Quarantine, Removed, Antidotal) model. Analytical and numerical approaches result in parameter conditions for the existence and stability of disease-free and endemic equilibrium points for two different cases: saturation and nonsaturation of the quarantine population block. Based on these results, operational actions can be planned to improve the network reliability.

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On the Optimal Dynamic Control Strategy of Disruptive Computer Virus

Cited by 20 publications

References 57 publications

An effective rumor-containing strategy

An effective rumor-containing strategy

Seeking Best-Balanced Patch-Injecting Strategies through Optimal Control Approach

Considering Quarantine in the SIRA Malware Propagation Model

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