Hopf bifurcation in a networked delay SIR epidemic model

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. (c) 2023 Elsevier Inc. All rights reserved.

Automated summary

This article considers a time delay networked Susceptible-Infectious-Recovered (SIR) epidemic model with a nonlinear incidence rate on a graph of Laplacian diffusion. The model incorporates population mobility through the graph network. Several stability theorems are established for all possible equilibrium points of the model. In addition, Hopf bifurcation analysis is conducted for the endemic equilibrium. Numerical results are provided to validate the theoretical findings.