HOPF- bifurcation analysis of delayed computer virus model with holling type iii incidence function and treatment

Madhusudanan, V.; Srinivas, M. N.; Nwokoye, ChukwuNonso H.; Murthy, B. S.; Sridhar, S.

doi:10.1016/j.sciaf.2022.e01125

Cited by 5 publications

(2 citation statements)

References 23 publications

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“…The detection policy mainly detects external dangers and guards against foreign intrusion. And the recovery policy can repair high-level independent security functions [9].…”

Section: Optimized Technology Modelmentioning

confidence: 99%

Analysis of Computer Virus Defense Strategy Based on Network Security

2022

AJCIS

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Computer viruses seriously endanger computer network information security. After the computer is generated, the security of the computer network is attacked by computer computer virus every moment. Computer viruses in computer networks can be brought into the computer through e-mail, downloading software, browsing web pages, etc. The user will unknowingly bring the computer into the computer, causing serious harm to the user's information security. The virus is extremely stealthy, and once the computer is attacked, it is difficult for users to remove it in time, and in the case of undetectable, it will cause incalculable damage to the computer's system. Once discovered, it can cause great damage to the user's computer data. In the actual use process, as people's dependence on the Internet increases day by day, once attacked by the Trojan virus, it will greatly affect people's work and life. In this paper, through the analysis of the propagation mechanism and characteristics of computer network viruses, the corresponding preventive measures are proposed, in order to provide reference for the prevention of computer viruses in China.

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“…The detection policy mainly detects external dangers and guards against foreign intrusion. And the recovery policy can repair high-level independent security functions [9].…”

Section: Optimized Technology Modelmentioning

confidence: 99%

Analysis of Computer Virus Defense Strategy Based on Network Security

2022

AJCIS

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“…We adopt the saturation incidence rate [22,23], which can present the inhibition effect of susceptible devices and the crowding effect of infectious devices and can also ensure the boundness of contact rate by choosing suitable parameters [24]. In addition, considering the latent character of computer worms, the exposed compartments of computer and USB are introduced [25][26][27][28]. The rest of the article is organized as follows: in Section 2, qualitative analysis of the dynamical system is carried out, and sufficient conditions for the existence of equilibria and asymptotic stability are given; numerical findings and discussion are conducted in Section 3; in Section 4, optimal control strategy is proposed; and conclusion is presented in Section 5. numbers of susceptible computers, exposed computers, infectious computers and recovered computers at time t. And similarly for USB devices population, which is classified into three vector population subclasses, namely S u (t), E u (t), and I u (t), represent the numbers of susceptible USB devices, exposed USB devices and infectious USB devices at time t, respectively.…”

Section: Introductionmentioning

confidence: 99%

Dynamic analysis and optimal control of worm propagation model with saturated incidence rate

Wang

Xue

2023

Front. Phys.

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In order to prevent the propagation of computer worms effectively, based on the latent character of worms, the exposed compartments of computer and USB device are introduced respectively, and a series of computer worm propagation models with saturation incidence rate are proposed. The qualitative behavior of the proposed model is studied. Firstly, the threshold R0 of the model is derived by using the next-generation matrix method, which completely characterized the stability of disease free equilibrium and endemic equilibrium. If R0 < 1, the disease free equilibrium is asymptotically stable, implying that the worm dies out eventually and its attack remains under control; if R0 > 1, the asymptotic stability of endemic equilibrium under certain conditions is proved, which means that the worm is always persistent and uncontrollable under such conditions. Secondly, the theoretical results are verified by numerical study, in which the relative importance of each parameter in worm prevalence is evaluated by sensitivity analysis. Finally, so as to minimize the number of computer and USB device carrying computer worms in short span of time, the worm propagation model is extended to incorporate three control strategies. The Pontryagin’s maximum principle is used to characterize the controls’ optimal levels. According to the control effect diagram, the combined strategy is effective in minimizing the transmission dynamics of worm virus in computer and USB devices populations respectively.

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Effect of Delay in SMS Worm Propagation in Mobile Network with Saturated Incidence Rate

Zhang

Madhusudanan²,

Murthy

2023

Wireless Pers Commun

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Cell phones are getting increasingly well known. SMS worms spread themselves by sending messages, which can rapidly taint a large number of cell phones and cause incredible harm to clients. Consequently, it is critical to investigate and foresee the proliferation of SMS worms to diminish their expected danger. In this article, we propose a worm spread model in light of SMS, named SAID (Susceptible-Affected-Infected-suspended) with a saturated incidence rate and time delay. To precisely foresee the worm proliferation by means of SMS, first, we add the impacted state to address the condition of clients who have gotten the messages yet have not tapped the malignant connections. Second, since an infected node doesn't necessarily send pernicious messages to other people, a novel express, the suspended state, which gets some margin to affected node to infected node in mobile network. Specifically, nonlinear stability, hopf bifurcation and its direction and steadiness of the periodic solution not entirely settled by utilizing the centre manifold theorem. At last, a few numerical simulations are presented to check the analytical results.

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HOPF- bifurcation analysis of delayed computer virus model with holling type iii incidence function and treatment

Cited by 5 publications

References 23 publications

Analysis of Computer Virus Defense Strategy Based on Network Security

Analysis of Computer Virus Defense Strategy Based on Network Security

Dynamic analysis and optimal control of worm propagation model with saturated incidence rate

Effect of Delay in SMS Worm Propagation in Mobile Network with Saturated Incidence Rate

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