Publication

Abstract : An e-epidemic SIRS (susceptible-infected-recovered-susceptible) model is proposed with a generalized non-monotone incidence rate characterizing the psychological effect of some devastating malware when the number of infected nodes are getting larger. Existence of unique and multiple equilibria, linear and non-linear stability with the help of basic reproduction number, and the nature of temporal system dynamics are analyzed. Bifurcation analyses (backward and forward transcritical bifurcation, Hopf bifurcation) are performed that are exhibited by the temporal system. It has been shown that saturation recovery of infected nodes along with the malware transmission rate lead to vital dynamics such as monostable and bistable, when basic reproduction number () is less than unity.