Analysis and Control of Malware Mutation Model in Wireless Rechargeable Sensor Network with Charging Delay

Guiyun Liu, Zhimin Peng, Zhongwei Liang, Xiaojing Zhong and Xinhai Xia
Additional contact information
Guiyun Liu: School of Mechanical and Electrical Engineering, Guangzhou University, Guangzhou 510006, China
Zhimin Peng: School of Mechanical and Electrical Engineering, Guangzhou University, Guangzhou 510006, China
Zhongwei Liang: School of Mechanical and Electrical Engineering, Guangzhou University, Guangzhou 510006, China
Xiaojing Zhong: School of Mechanical and Electrical Engineering, Guangzhou University, Guangzhou 510006, China
Xinhai Xia: Department of Port and Shipping Management, Guangzhou Maritime University, Guangzhou 510725, China

Mathematics, 2022, vol. 10, issue 14, 1-28

Abstract: In wireless rechargeable sensors (WRSNs), the system is vulnerable to be attacked by malware. Because of the distributed network structure of WRSNs, the malware attack has great influence on the security system of WRSNs. With the variability in malware, the problem of decryption and coding errors will lead to the malware mutating. In this paper, there are two problems to be solved, including the malware mutation and the charging delay in WRSNs. The malware mutation state and the low-energy state are introduced. Firstly, three different equilibrium solutions of the mutation model are given. Then, the local stability is proven by the characteristic equation, and the system will be stabilized at different equilibrium solutions when the base reproductive number is different. With the condition of charging delay, the bifurcation phenomenon is investigated by using the Hopf bifurcation theory. Furthermore, to improve the security of WRSNs and decrease the control cost, the Pontryagin’s Maximum principle is applied to obtain an optimal control scheme under mutation and charging delay. Finally, the numerical simulation is applied by Matlab to confirm this model. The simulation results show that the mutation malware can be controlled when the delay is less than the maximum threshold.

Keywords: WRSNs; stable analysis; Hopf bifurcation; optimal control (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2022
References: View references in EconPapers View complete reference list from CitEc
Citations: View citations in EconPapers (1)

Downloads: (external link)
https://www.mdpi.com/2227-7390/10/14/2376/pdf (application/pdf)
https://www.mdpi.com/2227-7390/10/14/2376/ (text/html)

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:gam:jmathe:v:10:y:2022:i:14:p:2376-:d:856975

Access Statistics for this article

Mathematics is currently edited by Ms. Emma He

More articles in Mathematics from MDPI
Bibliographic data for series maintained by MDPI Indexing Manager ().