Bifurcation analysis on a delayed SIS epidemic model with stage structure
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Date
2007-05-22
Authors
Liu, Li
Li, Xiangao
Zhuang, Kejun
Journal Title
Journal ISSN
Volume Title
Publisher
Texas State University-San Marcos, Department of Mathematics
Abstract
In this paper, a delayed SIS (Susceptible Infectious Susceptible) model with stage structure is investigated. We study the Hopf bifurcations and stability of the model. Applying the normal form theory and the center manifold argument, we derive the explicit formulas determining the properties of the bifurcating periodic solutions. The conditions to guarantee the global existence of periodic solutions are established. Also some numerical simulations for supporting the theoretical are given.
Description
Keywords
SIS model, Delay, Hopf bifurcation, Stability, Periodic solution
Citation
Liu, L., Li, X., & Zhuang, K. (2007). Bifurcation analysis on a delayed SIS epidemic model with stage structure. <i>Electronic Journal of Differential Equations, 2007</i>(77), pp. 1-17.
Rights
Attribution 4.0 International