基于PD控制的一类考虑有限治疗资源的时滞扩散恶意软件传播模型OA

In order to investigate the spatial-temporal dynamic propagation characteristics of malware in the Internet of Things system,this paper establishes a delay-diffusion malware propagation model with limited treatment resources based on the theory of differential equations.By analyzing the relevant characteristic equations,the conditions for Turing instability and Hopf bifurcation are derived.To enhance the system stability,Proportional-Derivative(PD)control is introduced into the model,and the stability of the controlled model is analyzed.Numerical simulations confirm the correctness of the theoretical derivations and demonstrate that the occurrence of Turing instability and Hopf bifurcation can be controlled by choosing appropriate parameters of the PD controller.