A DELAYED MALWARE PROPAGATION MODEL FOR CLOUD COMPUTING SECURITY

How to secure the virtual environment in the cloud computing is a crucial issue since the cloud computing has been providing various services in many areas in the globe. The main aim of this paper is to investigate a delayed malware propagation model for cloud computing security. Time delay due to time interval that the infected virtual machines need to reinstall system and time delay due to the temporary immunization period of the protected virtual machines are introduced into the model. First, sufficient conditions for local stability and existence of Hopf bifurcation are derived by choosing different combinations of the two time delays as bifurcating parameter. Second, global exponential stability of the model is explored with the aid of linear matrix inequalities method. Finally, numerical simulations are carried out to illustrate that the obtained results and suggestions to ensure security of the cloud computing are given in the conclusion according to analyzing the dynamics of the proposed delayed malware propagation model for cloud computing security.