Li Liu, Xiangao Li, Kejun Zhuang
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.
Submitted February 6, 2007. Published May 22, 2007.
Math Subject Classifications: 34K13, 34K18, 34K20.
Key Words: SIS model; delay; Hopf bifurcation; stability;
periodic solution.
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Li Liu School of Mathematical Sciences South China Normal University Guangzhou 510631, China email: liuli_0926@163.com |
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Xiangao Li School of Mathematical Sciences South China Normal University Guangzhou 510631, China email: lixg@scnu.edu.cn |
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Kejun Zhuang School of Mathematical Sciences South China Normal University Guangzhou 510631, China email: zhkj123@163.com |
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