Stability analysis of deterministic SEIA worm model by reproductive number

Geethamalini, S.; Balamuralitharan, S.; Radha, M.; Geetha, V.; Rathinasamy, A.

doi:10.1063/1.5112229

Cited by 4 publications

(2 citation statements)

References 22 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…In the first case, the model includes variables, giving a probabilistic distribution to the system, incorporating uncertainty, an intrinsic characteristic of epidemiological systems [32][33][34][35]. On the other hand, deterministic models provide the same results every time they are simulated with the same initial conditions [36,37], being suitable to verify system sensitivity to the variation of the parameters [20,21,38].…”

Section: Epidemiological Modelsmentioning

confidence: 99%

A Review of Mathematical Model Based in Clustered Computer Network

Batistela¹,

Piqueira²

2023

Malware - Detection and Defense

View full text Add to dashboard Cite

The threats produced by viruses in computer networks have been frequent and the subject of many studies. Computer viruses share common characteristics with biological viruses, and therefore, one of the ways to study the dynamics of virus propagation has been through biological analogies. Inspired by macroscopic models, the susceptible-infected-removable (SIR) model allowed variations of compartmental models and suggested defenses considering antidotal (SIRA) and quarantined compartments (SIQRA), giving rise to models that evaluate the effectiveness and strategies to control the spread of viruses in networks. Recently, with the rapid popularization and access to networks, new studies have been taken into consideration the clusters of association of networks, indicating new control strategies and particularities of the dynamics. Toward this goal, this chapter presents a review of the mathematical model based in clustered computer network with the brief overview of the mathematical model reviews and providing an integrated framework to clustered model. In this essay, there is a discussion about the several ways of applying compartmental models to study the propagation of computer viruses and malwares through networks, emphasizing the effect of connections between geographically distributed machine clusters.

show abstract

Section: Epidemiological Modelsmentioning

confidence: 99%

A Review of Mathematical Model Based in Clustered Computer Network

Batistela¹,

Piqueira²

2023

Malware - Detection and Defense

View full text Add to dashboard Cite

show abstract

“…Adapting the SIR model to computer populations, two different strategies were developed: deterministic [11,13,[20][21][22][23] or stochastic [12,[24][25][26]. Regarding the mathematical treatment of time, discrete [27] and continuous [28,29] models appeared.…”

Section: Introductionmentioning

confidence: 99%

Considering Quarantine in the SIRA Malware Propagation Model

Piqueira

Batistela

2019

Mathematical Problems in Engineering

View full text Add to dashboard Cite

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.

show abstract

Stability and numerical analysis of swine flu model with delay

Balamuralitharan¹,

Gowtham²

2020

1st International Conference on Mathematical Techniques and Applications: Icmta2020

View full text Add to dashboard Cite

Stability analysis of deterministic SEIA worm model by reproductive number

Cited by 4 publications

References 22 publications

A Review of Mathematical Model Based in Clustered Computer Network

A Review of Mathematical Model Based in Clustered Computer Network

Considering Quarantine in the SIRA Malware Propagation Model

Stability and numerical analysis of swine flu model with delay

Contact Info

Product

Resources

About