Advances in stochastic epidemic modeling: tackling worm transmission in wireless sensor networks

This research investigates the security challenges posed by worm propagation in wireless sensor networks (WSNs). A novel stochastic susceptible – infectious – vaccination – recovered model is introduced to analyse the dynamics of worm spread. Conditions for the existence of a unique global solution...

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Main Authors: Hassan Tahir, Anwarud Din, Kamal Shah, Bahaaeldin Abdalla, Thabet Abdeljawad
Format: Article
Language:English
Published: Taylor & Francis Group 2024-12-01
Series:Mathematical and Computer Modelling of Dynamical Systems
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Online Access:https://www.tandfonline.com/doi/10.1080/13873954.2024.2396480
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author Hassan Tahir
Anwarud Din
Kamal Shah
Bahaaeldin Abdalla
Thabet Abdeljawad
author_facet Hassan Tahir
Anwarud Din
Kamal Shah
Bahaaeldin Abdalla
Thabet Abdeljawad
author_sort Hassan Tahir
collection DOAJ
description This research investigates the security challenges posed by worm propagation in wireless sensor networks (WSNs). A novel stochastic susceptible – infectious – vaccination – recovered model is introduced to analyse the dynamics of worm spread. Conditions for the existence of a unique global solution are examined, and necessary conditions for worm eradication are established. By incorporating random environmental fluctuations, the proposed model provides a more precise depiction of propagation dynamics than deterministic models. Empirical findings are presented to validate the model’s predictive accuracy across diverse scenarios, underscoring its robustness. Numerical simulations affirm the effectiveness of the analytical approach in understanding worm propagation within WSNs. The study offers valuable insights into worm dynamics and proposes a methodological framework to enhance network security. The findings underscore the significant role of stochastic systems in modelling and provide strategic perspectives for designing resilient defensive frameworks against worm attacks in WSNs.
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institution DOAJ
issn 1387-3954
1744-5051
language English
publishDate 2024-12-01
publisher Taylor & Francis Group
record_format Article
series Mathematical and Computer Modelling of Dynamical Systems
spelling doaj-art-b49aa0ad39b041b3ab5dee76c5d8f3b82025-08-20T02:50:19ZengTaylor & Francis GroupMathematical and Computer Modelling of Dynamical Systems1387-39541744-50512024-12-0130165868210.1080/13873954.2024.2396480Advances in stochastic epidemic modeling: tackling worm transmission in wireless sensor networksHassan Tahir0Anwarud Din1Kamal Shah2Bahaaeldin Abdalla3Thabet Abdeljawad4School of Mathematical Sciences, Key Laboratory of MEA(Ministry of Education) & Shanghai Key Laboratory of PMMP, East China Normal University, Shanghai, ChinaDepartment of Mathematics, Sun Yat-sen University, Guangzhou, PR ChinaDepartment of Mathematics and Sciences, Prince Sultan University, Riyadh, Saudi ArabiaDepartment of Mathematics and Sciences, Prince Sultan University, Riyadh, Saudi ArabiaDepartment of Mathematics and Sciences, Prince Sultan University, Riyadh, Saudi ArabiaThis research investigates the security challenges posed by worm propagation in wireless sensor networks (WSNs). A novel stochastic susceptible – infectious – vaccination – recovered model is introduced to analyse the dynamics of worm spread. Conditions for the existence of a unique global solution are examined, and necessary conditions for worm eradication are established. By incorporating random environmental fluctuations, the proposed model provides a more precise depiction of propagation dynamics than deterministic models. Empirical findings are presented to validate the model’s predictive accuracy across diverse scenarios, underscoring its robustness. Numerical simulations affirm the effectiveness of the analytical approach in understanding worm propagation within WSNs. The study offers valuable insights into worm dynamics and proposes a methodological framework to enhance network security. The findings underscore the significant role of stochastic systems in modelling and provide strategic perspectives for designing resilient defensive frameworks against worm attacks in WSNs.https://www.tandfonline.com/doi/10.1080/13873954.2024.2396480Wireless sensor networks (WSNs)stochastic epidemic modelworm propagation
spellingShingle Hassan Tahir
Anwarud Din
Kamal Shah
Bahaaeldin Abdalla
Thabet Abdeljawad
Advances in stochastic epidemic modeling: tackling worm transmission in wireless sensor networks
Mathematical and Computer Modelling of Dynamical Systems
Wireless sensor networks (WSNs)
stochastic epidemic model
worm propagation
title Advances in stochastic epidemic modeling: tackling worm transmission in wireless sensor networks
title_full Advances in stochastic epidemic modeling: tackling worm transmission in wireless sensor networks
title_fullStr Advances in stochastic epidemic modeling: tackling worm transmission in wireless sensor networks
title_full_unstemmed Advances in stochastic epidemic modeling: tackling worm transmission in wireless sensor networks
title_short Advances in stochastic epidemic modeling: tackling worm transmission in wireless sensor networks
title_sort advances in stochastic epidemic modeling tackling worm transmission in wireless sensor networks
topic Wireless sensor networks (WSNs)
stochastic epidemic model
worm propagation
url https://www.tandfonline.com/doi/10.1080/13873954.2024.2396480
work_keys_str_mv AT hassantahir advancesinstochasticepidemicmodelingtacklingwormtransmissioninwirelesssensornetworks
AT anwaruddin advancesinstochasticepidemicmodelingtacklingwormtransmissioninwirelesssensornetworks
AT kamalshah advancesinstochasticepidemicmodelingtacklingwormtransmissioninwirelesssensornetworks
AT bahaaeldinabdalla advancesinstochasticepidemicmodelingtacklingwormtransmissioninwirelesssensornetworks
AT thabetabdeljawad advancesinstochasticepidemicmodelingtacklingwormtransmissioninwirelesssensornetworks