BIFURCATION AND GLOBAL EXPONENTIAL STABILITY OF A MATHEMATICAL MODEL FOR MALWARE DISSEMINATION ON WIRELESS SENSOR NETWORKS

Abstract

The main aim of this paper is to analyze a mathematical model for malware dissemination on wireless sensor networks with time delay. Local stability and exhibition of the Hopf bifurcation are explored by means of analysis of the distribution of roots of the consequential characteristic equation. Moreover, global exponential stability is established with the help of linear matrix inequality techniques. Furthermore, properties of the Hopf bifurcation such as the direction and stability are studied by utilizing the normal form theory and the center manifold theorem. Finally, a computer numerical simulation example is presented to certify the rationality of our obtained results.