Hopf bifurcation in a networked delay SIR epidemic model

Abstract

A time delay networked Susceptible–Infectious–Recovered (SIR) epidemic model with a nonlinear incidence rate is considered on a graph of Laplacian diffusion. The model introduces population mobility through the graph network. Several stability theorems are proved at all possible different equilibrium points of the model. Further, Hopf bifurcation analysis for the endemic equilibrium is investigated. Numerical results are presented to support the theoretical findings.