Bifurcation analysis of a delayed SIS epidemic model with stage structure
作者： Tailei Zhang , Junli Liu , Zhidong Teng
DOI: 10.1016/J.CHAOS.2007.08.004
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摘要: Abstract This paper deals with a delayed SIS epidemic model stage structure. The stability of the positive equilibrium and existence Hopf bifurcation delay τ is investigated. We show that locally asymptotically stable when time small enough, while change will cause bifurcating periodic solution as passes through sequence critical values. Using normal form theory center manifold argument, we derive explicit formulae for determining direction bifurcation, other properties solutions. Analytic results are illustrated numerical simulations.
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