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Mechanism analysis of regulating Turing instability and Hopf bifurcation of malware propagation in mobile wireless sensor networks |
| Xi-Xi Huang(黄习习)1, Min Xiao(肖敏)1,†, Leszek Rutkowski2, Hai-Bo Bao(包海波)3, Xia Huang(黄霞)3, and Jin-De Cao(曹进德)4 |
1 College of Automation & College of Artificial Intelligence, Nanjing University of Posts and Telecommunications, Nanjing 210023, China;
2 Systems Research Institute of the Polish Academy of Sciences, 01-447 Warsaw, Poland;
3 College of Electrical Engineering and Automation, Shandong University of Science and Technology, Qingdao 266590, China;
4 School of Mathematics, Southeast University, Nanjing 210096, China |
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Abstract A dynamical model is constructed to depict the spatial-temporal evolution of malware in mobile wireless sensor networks (MWSNs). Based on such a model, we design a hybrid control scheme combining parameter perturbation and state feedback to effectively manipulate the spatiotemporal dynamics of malware propagation. The hybrid control can not only suppress the Turing instability caused by diffusion factor but can also adjust the occurrence of Hopf bifurcation induced by time delay. Numerical simulation results show that the hybrid control strategy can efficiently manipulate the transmission dynamics to achieve our expected desired properties, thus reducing the harm of malware propagation to MWSNs.
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Received: 09 November 2023
Revised: 19 January 2024
Accepted manuscript online: 01 February 2024
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PACS:
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02.30.Jr
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(Partial differential equations)
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02.60.Cb
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(Numerical simulation; solution of equations)
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| Fund: Project supported by the National Natural Science Foundation of China (Grant No. 62073172) and the Natural Science Foundation of Jiangsu Province of China (Grant No. BK20221329). |
Corresponding Authors:
Min Xiao
E-mail: candymanxm2003@aliyun.com
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Cite this article:
Xi-Xi Huang(黄习习), Min Xiao(肖敏), Leszek Rutkowski, Hai-Bo Bao(包海波), Xia Huang(黄霞), and Jin-De Cao(曹进德) Mechanism analysis of regulating Turing instability and Hopf bifurcation of malware propagation in mobile wireless sensor networks 2024 Chin. Phys. B 33 060202
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