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- Title
Optimal Control of Heterogeneous-Susceptible-Exposed-Infectious-Recovered-Susceptible Malware Propagation Model in Heterogeneous Degree-Based Wireless Sensor Networks.
- Authors
ZHANG Hong; SHEN Shigen; WU Guowen; CAO Qiying; XU Hongyun
- Abstract
Heterogeneous wireless sensor networks ( HWSNs ) are vulnerable to malware propagation, because of their low configuration and weak defense mechanism. Therefore, an optimality system for HWSNs is developed to suppress malware propagation in this paper. Firstly, a heterogeneous-susceptible-exposed-infectious-recovered-susceptible ( HSEIRS ) model is proposed to describe the state dynamics of heterogeneous sensor nodes (HSNs) in HWSNs. Secondly, the existence of an optimal control problem with installing antivirus on HSNs to minimize the sum of the cumulative infection probabilities of HWSNs at a low cost based on the HSEIRS model is proved, and then an optimal control strategy for the problem is derived by the optimal control theory. Thirdly, the optimal control strategy based on the HSEIRS model is transformed into corresponding Hamiltonian by the Pontryagin’s minimum principle, and the corresponding optimality system is derived. Finally, the effectiveness of the optimality system is validated by the experimental simulations, and the results show that the infectious HSNs will fall to an extremely low level at a low cost.
- Subjects
MALWARE prevention; WIRELESS sensor networks; INTRUSION detection systems (Computer security); OPTIMAL control theory; COMPUTER simulation
- Publication
Journal of Donghua University (English Edition), 2022, Vol 39, Issue 3, p220
- ISSN
1672-5220
- Publication type
Article
- DOI
10.19884/j.1672-5220.202201004