journal article·2023-10-01Open access

A novel method for the dynamics of worms in wireless sensor networks with fuzzy partition

Ateq Alsaadi, Fazal Dayan, Nauman Ahmed, Dumitru Baleanu, Muhammad Rafiq, Ali Raza

AIP Advances· Volume 13· Issue 10

Abstract

Wireless sensor networks (WSNs) have gained much interest due to their enormous potential in civil and military applications. The power and radio communication capabilities of the sensor nodes are limited. Because sensor nodes have limited resources, they have weak defense capabilities and are attractive targets for software attacks. Worm-based cyberattacks are among the most significant threats to computers and WSNs’ security and integrity. In this article, a five-compartmental WSN epidemic model is considered. We conducted an investigation into equilibrium analysis and the reproductive number, followed by the development of a nonstandard finite difference numerical scheme for our model. The outcomes of our numerical simulations are then presented. This method yields reliable predictions, which can be valuable for regulators when making decisions related to designing and implementing control strategies. Furthermore, some interesting properties of the developed scheme are investigated, such as positivity, convergence, and consistency. The developed scheme preserves the essential characteristics of disease epidemic models like positivity, convergence, and consistency.
Source: crossref · Quality: baseline

Research context

OpenAlex topics: Mathematical and Theoretical Epidemiology and Ecology Models · Opinion Dynamics and Social Influence · COVID-19 epidemiological studies

SciVX discovery tags are terminology-based. OpenAlex topics are source-provided classifications.

Affiliations

Department of Mathematics and Statistics, College of Science, Taif University 1 , P.O. Box 11099, Taif 21944, Saudi Arabia

Department of Mathematics, School of Science, University of Management and Technology 2 , Lahore 54000, Pakistan

Department of Mathematics and Statistics, University of Lahore 3 , Lahore 54590, Pakistan

Department of Computer Science and Mathematics, Lebanese American University 4 , Beirut 1102-2801, Lebanon

Institute of Space Sciences 5 , Magurele-Bucharest 077125, Romania

Department of Mathematics, Faculty of Science and Technology, University of Central Punjab 6 , Lahore 54000, Pakistan

Department of Mathematics, Govt. Maulana Zafar Ali Khan Graduate College Wazirabad, Higher Education Department (HED), Govt. of Punjab 7 , Lahore 54000, Pakistan

8 Department of Mathematics, Mathematics Research Center, Near East University, Near East Boulevard, PC: 99138, Nicosia/Mersin 10, Türkiye

References (39)

Show source-provided references
1. QoS supporting and optimal energy allocation for a cluster based wireless sensor network10.1016/j.comcom.2006.02.007 ↗
2. Applicability of wireless sensor networks in precision agriculture: A review10.1007/s11277-019-06285-2 ↗
3. A survey on sensor networks10.1109/mcom.2002.1024422 ↗
4. Applications of wireless sensor networks for urban areas: A survey10.1016/j.jnca.2015.09.008 ↗
5. Three dimensional optimum node localization in dynamic wireless sensor networks10.32604/cmc.2022.019171 ↗
6. Internet of things based wireless sensor network: A review10.11591/ijeecs.v27.i1.pp246-261 ↗
7. Dynamics of the worm transmission in wireless sensor network in the framework of fractional derivatives10.1002/mma.8039 ↗
8. Epidemic models of malicious-code propagation and control in wireless sensor networks: An indepth review10.1007/s11277-022-09636-8 ↗
9. SEIRS model with spatial correlation for analyzing dynamic of virus spreading in event-driven wireless sensor networks10.1007/s13198-021-01336-z ↗
10. Modeling time delay, external noise and multiple malware infections in wireless sensor networks10.1016/j.eij.2022.02.002 ↗
11. Integrated data reduction model in wireless sensor networks10.1016/j.aci.2019.03.003 ↗
12. A novel range-free node localization method for wireless sensor networks10.1109/lwc.2021.3140063 ↗
13. A hybrid-strategy-improved butterfly optimization algorithm applied to the node coverage problem of wireless sensor networks10.3934/mbe.2022181 ↗
14. Diagnosis of fault node in wireless sensor networks using adaptive neuro-fuzzy inference system10.1007/s13204-021-01934-0 ↗
15. Data-prediction model based on stepwise data regression method in wireless sensor network10.1007/s11277-022-10034-3 ↗
16. Energy enhancement of routing protocol with hidden Markov model in wireless sensor networks10.1007/s00521-022-07970-3 ↗
17. A report on COVID-19 epidemic in Pakistan using SEIR fractional model10.1038/s41598-020-79405-9 ↗
18. Transmission dynamics and sensitivity analysis of pine wilt disease with asymptomatic carriers via fractal-fractional differential operator of Mittag-Leffler kernel10.1016/j.apnum.2022.12.004 ↗
19. A global report on the dynamics of COVID-19 with quarantine and hospitalization: A fractional order model with non-local kernel10.1016/j.compbiolchem.2022.107645 ↗
20. Dynamics of fractal-fractional model of a new chaotic system of integrated circuit with Mittag-Leffler kernel10.1016/j.chaos.2021.111602 ↗
21. Dynamic consistency: A fundamental principle for constructing nonstandard finite difference schemes for differential equations10.1080/10236190412331334527 ↗
22. Complex dynamics of a discrete-time seasonally forced SIR epidemic model10.1002/mma.8955 ↗
23. Analysis of a modified system of infectious disease in a closed and convex subset of a function space with numerical study10.3390/axioms12010079 ↗
24. Numerical approximations of stochastic Gray-Scott model with two novel schemes10.3934/math.2023257 ↗
25. A class of second-order and dynamically consistent nonstandard finite difference schemes for nonlinear Volterra’s population growth model10.1007/s40314-023-02230-z ↗
26. A SIR-model with square-root dynamics: An NSFD scheme10.1080/10236190802495311 ↗
27. A note on an NSFD scheme for a mathematical model of respiratory virus transmission10.1080/10236198.2010.515590 ↗
28. Numerical solutions of Burgers–Huxley equation by exact finite difference and NSFD schemes10.1080/10236198.2016.1173687 ↗
29. Stability preserving NSFD scheme for a multi-group SVIR epidemic model10.1002/mma.4357 ↗
30. Numerical solutions of generalized Rosenau–KDV–RLW equation by using Haar wavelet collocation approach coupled with nonstandard finite difference scheme and quasilinearization10.1002/num.22925 ↗
31. Dynamically consistent nonstandard finite difference schemes for a virus-patch dynamic model10.1007/s12190-021-01673-z ↗
32. An efficient Mickens’ type NSFD scheme for the generalized Burgers Huxley equation10.1080/10236198.2020.1812594 ↗
33. Modeling and transmission dynamics of zika virus through efficient numerical method10.1063/5.0168945 ↗
34. Fuzzy global stability analysis of the dynamics of malaria with fuzzy transmission and recovery rates10.4236/ajor.2021.116017 ↗
35. Computational analysis of the coronavirus epidemic model involving nonlinear stochastic differential equations10.1063/5.0161001 ↗
36. A non-standard computational method for stochastic anthrax epidemic model10.1063/5.0160742 ↗
37. Time-delay systems with delayed impulses: A unified criterion on asymptotic stability10.1016/j.automatica.2020.109470 ↗
38. Event-triggered control for nonlinear time-delay systems10.1109/tac.2021.3062577 ↗
39. A note on stability of Mackey–Glass equations with two delays10.1016/j.jmaa.2017.01.050 ↗