Modeling malware propagation using a carrier compartment

Guillén, Jose Diamantino Hernández; Rey, Ángel Martín del

doi:10.1016/j.cnsns.2017.08.011

Cited by 31 publications

(18 citation statements)

References 26 publications

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“…Similar to the analysis of [8], we can verify that the positive cone D is a positive invariant set with respect to (3), where…”

Section: Parameters Notes Amentioning

confidence: 69%

“…For the classic malware propagation model, all nodes are divided into three classes depending on their states: susceptible (healthy), infected, and removed (immunized). Recently, Guillén and del Rey [8] studied a new malware propagation model using a carrier compartment. Some devices are not targeted by the malware (for example, IOS devices for Android malware), and they can be denoted as carrier devices.…”

Section: Modeling a Malware Propagation Modelmentioning

confidence: 99%

“…Some devices are not targeted by the malware (for example, IOS devices for Android malware), and they can be denoted as carrier devices. However, the influence of delays cannot be considered in the model of [8]. In malware propagation model used in [8], the densities of infected individuals I(t) are not influenced by discrete delay.…”

Section: Modeling a Malware Propagation Modelmentioning

confidence: 99%

“…However, the influence of delays cannot be considered in the model of [8]. In malware propagation model used in [8], the densities of infected individuals I(t) are not influenced by discrete delay. In real malware propagation model, I(t) may be influenced by different classes of delays at the same time, including discrete delays.…”

Section: Modeling a Malware Propagation Modelmentioning

confidence: 99%

“…Remark 1. In [8], considering the special class of carrier devices, the authors studied the following system with carrier:…”

Section: Parameters Notes Amentioning

confidence: 99%

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An information diffusion model in social networks with carrier compartment and delay

Wang²,

Liu

2018

NAMC

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With the wide applications of the communication networks, the topic of information networks security is getting more and more attention from governments and individuals. This paper is devoted to investigating a malware propagation model with carrier compartment and delay to describe the process of malware propagation in mobile wireless sensor networks. Based on matrix theory for characteristic values, the local stability criterion of equilibrium points is established. Applying the linear approximation method of nonlinear systems, we study the existence of Hopf bifurcation at the equilibrium points. At the same time, we identify some sensitive parameters in the process of malware propagation. Finally, numerical simulations are performed to illustrate the theoretical results.

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“…Similar to the analysis of [8], we can verify that the positive cone D is a positive invariant set with respect to (3), where…”

Section: Parameters Notes Amentioning

confidence: 69%

Section: Modeling a Malware Propagation Modelmentioning

confidence: 99%

Section: Modeling a Malware Propagation Modelmentioning

confidence: 99%

Section: Modeling a Malware Propagation Modelmentioning

confidence: 99%

“…Remark 1. In [8], considering the special class of carrier devices, the authors studied the following system with carrier:…”

Section: Parameters Notes Amentioning

confidence: 99%

See 3 more Smart Citations

An information diffusion model in social networks with carrier compartment and delay

Wang²,

Liu

2018

NAMC

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Optimal control measures for a susceptible‐carrier‐infectious‐recovered‐susceptible malware propagation model

Gonçalves

Rodrigues

Monteiro

2019

Optim Control Appl Methods

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Purposing to lessen malware propagation, this paper proposes optimal control measures for a susceptible-carrier-infectious-recovered-susceptible (SCIRS) epidemiological model formed by a system of ordinary differential equations. By taking advantage of real-world data related to the number of reported cybercrimes in Japan from 2012 to 2017, an optimal control problem is formulated to minimize the number of infected devices in a cost-effective way. The existence and uniqueness of the results related to the optimality system are proved. Overall, numerical simulations show the usefulness of the proposed control strategies in reducing the spread of malware infections.

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