A mathematical model for malware spread on WSNs with population dynamics

Guillén, Jose Diamantino Hernández; Rey, Ángel Martín del

doi:10.1016/j.physa.2019.123609

Cited by 16 publications

(30 citation statements)

References 31 publications

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“…Although the scientific approach to combating malware is mainly focused on the design of efficient methods to detect and remove malware [6], it is also worth modeling the propagation behaviors of malware and developing effective control strategies, furthermore, to prevent its outbreak. Most of these models are dynamical systems of ordinary differential equations [7]. ey are compartmental, that is, the nodes are divided into different types, such as susceptible, exposed, infectious, recovered, and quarantined.…”

Section: Introductionmentioning

confidence: 99%

Modeling and Analysis of the Spread of Malware with the Influence of User Awareness

2021

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By incorporating the security awareness of computer users into the susceptible-infected-susceptible (SIS) model, this study proposes a new malware propagation model, named the SID model, where D compartment denotes the group of nodes with user awareness. Through qualitative analysis, the basic reproductive number R 0 is given. Furthermore, it is proved that the virus-free equilibrium is globally asymptotically stable if R 0 is less than one, whereas the viral equilibrium is globally asymptotically stable if R 0 is greater than one. Then, some numerical examples are given to demonstrate the analytical results. Finally, we put forward some efficient control measures according to the theoretical and experimental analysis.

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Section: Introductionmentioning

confidence: 99%

Modeling and Analysis of the Spread of Malware with the Influence of User Awareness

2021

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“…This leads to urgent requests for effective measures to prevent and control computer viruses and malware. For this purpose, many mathematicians and engineers have built mathematical models, which are based on epidemiological models and the high similarity of the spread of computer viruses and biological ones, to discover characteristics and transmission mechanisms of computer viruses and malware (see, for example, [3,11,20,15,16,17,36] and references therein). Consequently, effective measures to prevent and control computer viruses are suggested.…”

Section: Introductionmentioning

confidence: 99%

“…In a very recent work [20], Hernández Guillén and Martín del Rey introduced and analyzed a new theoretical model for the spread of malicious code on wireless sensor networks (WSNs). More clearly, a novel mathematical model considering population dynamics, vaccination and reinfection processes was constructed and studied.…”

Section: Introductionmentioning

confidence: 99%

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A new and simple condition for the global asymptotic stability of a malware spread model on WSNs

Hoang¹

2021

Preprint

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In a very recent work [J. D. Hernández Guillén, A. Martín del Rey, A mathematical model for malware spread on WSNs with population dynamics, Physica A: Statistical Mechanics and its Applications 545( 2020) 123609], a novel theoretical model for the spread of malicious code on wireless sensor networks was introduced and analyzed. However, the global asymptotic stability (GAS) of the disease-endemic equilibrium (DEE) point was only resolved partially under technical hypotheses that are not only difficult to be verified but also restrict the space of feasible parameters for the model. In the present work, we use a simple approach to establish the complete GAS of the DEE point without the technical hypotheses proposed in the benchmark work. This approach is based on a suitable family of Lyapunov functions in combination with characteristics of Volterra-Lyapunov stable matrices. Consequently, we obtain a simple and easily-verified condition for the DEE point to be globally asymptotically stable. This result provides an important improvement for the results constructed in the benchmark work. In addition, the theoretical findings are supported by numerical and illustrative examples, which show that the numerical results are consistent with the theoretical ones.

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“…[ 14 ]) in WSNs has received extensive attention and in-depth exploration in the academic. When considering the malware carrier, patch injection mechanism, and time delay, more suitable epidemic models have been proposed: SCIRS [ 20 ], SIPS [ 21 ], SEIAR [ 22 ], etc. Furthermore, Table 1 lists some relevant literature from recent years.…”

Section: Introductionmentioning

confidence: 99%

A Novel Epidemic Model for Wireless Rechargeable Sensor Network Security

Liu

Peng

Zhong

2020

Sensors

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With the development of wireless rechargeable sensor networks (WRSNs ), security issues of WRSNs have attracted more attention from scholars around the world. In this paper, a novel epidemic model, SILS(Susceptible, Infected, Low-energy, Susceptible), considering the removal, charging and reinfection process of WRSNs is proposed. Subsequently, the local and global stabilities of disease-free and epidemic equilibrium points are analyzed and simulated after obtaining the basic reproductive number R0. Detailedly, the simulations further reveal the unique characteristics of SILS when it tends to being stable, and the relationship between the charging rate and R0. Furthermore, the attack-defense game between malware and WRSNs is constructed and the optimal strategies of both players are obtained. Consequently, in the case of R0<1 and R0>1, the validity of the optimal strategies is verified by comparing with the non-optimal control group in the evolution of sensor nodes and accumulated cost.

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A mathematical model for malware spread on WSNs with population dynamics

Cited by 16 publications

References 31 publications

Modeling and Analysis of the Spread of Malware with the Influence of User Awareness

Modeling and Analysis of the Spread of Malware with the Influence of User Awareness

A new and simple condition for the global asymptotic stability of a malware spread model on WSNs

A Novel Epidemic Model for Wireless Rechargeable Sensor Network Security

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