Journal
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS
Volume 525, Issue 1, Pages -Publisher
ACADEMIC PRESS INC ELSEVIER SCIENCE
DOI: 10.1016/j.jmaa.2023.127131
Keywords
Network; Epidemic model; Hopf bifurcation; Stability
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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.
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.
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