Malware propagation model of fractional order, optimal control strategy and simulations

Frontiers in Physics

Physics

Ying Zhou¹  Ban-Teng Liu¹  Kai Zhou²  Shou-Feng Shen² 

[1] College of Information Engineering, Zhejiang Shuren University, Hangzhou, China;Department of Applied Mathematics, Zhejiang University of Technology, Hangzhou, China;

关键词: malware propagation;    fractional order difference equations;    inverse approach;    discrete element method;    adaptive model;   

DOI  :  10.3389/fphy.2023.1201053

 received in 2023-04-06, accepted in 2023-05-23,  发布年份 2023

来源: Frontiers

【 摘 要 】

In this paper, an improved SEIR model of fractional order is investigated to describe the behavior of malware propagation in the wireless sensor network. Firstly, the malware propagation model of fractional order is established based on the classical SEIR epidemic theory, the basic reproductive number is obtained by the next-generation method and the stability condition of the model is also analyzed. Then, the inverse approach for the uncertainty propagation based on the discrete element method and least square algorithm is presented to determine the unknown parameters of the propagation process. Finally, the optimal control strategy is also discussed based on the adaptive model. Simulation results show the proposed model works better than the propagation model of integer order. The error of proposed model is smaller than integer order models.

【 授权许可】

Unknown   
Copyright © 2023 Zhou, Liu, Zhou and Shen.