An SIRS Model for Assessing Impact of Media Coverage

Abstract

An SIRS model incorporating a general nonlinear contact function is formulated and analyzed. When the basic reproduction number , the disease-free equilibrium is locally asymptotically stable. There is a unique endemic equilibrium that is locally asymptotically stable if ${ℛ}_0>1$. Under some conditions, the endemic equilibrium is globally asymptotically stable. At last, we conduct numerical simulations to illustrate some results which shed light on the media report that may be the very effective method for infectious disease control.