Dynamics of a diffusion epidemic SIRI system in heterogeneous environment.

This paper studies the dynamical behaviors of a diffusion epidemic SIRI system with distinct dispersal rates. The overall solution of the system is derived by using theory and the Young's inequality. The uniformly boundedness of the solution is obtained for the system.

Advanced Fault Diagnosis and Health Monitoring Techniques for Complex Engineering Systems.

Fault diagnosis and health condition monitoring have always been critical issues in the engineering research community [...

Advanced Sensing, Fault Diagnostics, and Structural Health Management.

Advanced sensing, fault diagnosis, and structural health management are important parts of the maintenance strategy of modern industries [...

Oscillation induced by Hopf bifurcation in the p53-Mdm2 feedback module.

This study develops an integrated model of the p53-Mdm2 interaction composed of five basic components and time delay in the DNA damage response based on the existing research work. Some critical factors, including time delay, system parameters, and their interactions in the p53-Mdm2 system are investigated to examine their effects on the oscillatory behaviour induced by Hopf bifurcation. It is shown that the positive feedback formed between p53 and the activity of Mdm2 in the cytoplasm can cause a slight decrease in the amplitude of the p53 oscillation.