Juan Liu, Changjin Xu, "Dynamics of an Epidemic Model with Saturation Recovery and Delays," WSEAS Transactions on Mathematics, vol. 15, pp. 300-311, 2016, DOI:
Juan Liu, Changjin Xu. Dynamics of an Epidemic Model with Saturation Recovery and Delays.
WSEAS Transactions on Mathematics. 2016;15:300-311.
WSEAS Transactions on Mathematics
Print ISSN: 1109-2769, E-ISSN: 2224-2880
Volume 15, 2016
Dynamics of an Epidemic Model with Saturation Recovery and Delays
Authors: ,
Abstract: This paper discusses the dynamical behaviors of an SIRS epidemic model with saturation recovery and two delays. The main results are given in terms of local stability and Hopf bifurcation. By choosing the diverse delay as a bifurcation parameter, we show that the complex Hopf bifurcation phenomenon at the positive equilibrium of the model can occur as the diverse delay crosses the corresponding critical value. Particularly, the direction and stability of the local Hopf bifurcation are determined by using the normal form theory and center manifold theorem. Finally, some numerical simulations supporting our theoretical results are presented.
Pages: 300-311 WSEAS Transactions on Mathematics, ISSN / E-ISSN: 1109-2769 / 2224-2880, Volume 15, 2016, Art. #29 DOI: *As the DOI is a unique identifier, it is already available in the pdf version.
**The DOI link will be activated in the first midst of January 2026.
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