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《Journal of Guangxi Academy of Sciences》 2011-01
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Stability and Hopf Bifurcation of a Delayed SIS Model with Species Logistic Growth and a Nonlinear Incidence Rate

ZHAO Shi-jie,LI Da-pu(School of Mathematics and Computing Science,Guilin University of Electronic Technology,Guilin,Guangxi,541004,China)  
A delayed SIS Model with Species Logistic growth and a non-linear incidence rate is studied.First,the local stability of the positive equilibrium is investigated.Then,based on center manifold and normal form,the formulas for the determining the direction of Hopf bifurcation and the stability of bifurcating periodic solutions are obtained.Finally,some numerical simulations are carried out by matlab program.
【CateGory Index】: O175
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