Kejun Zhuang

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In this paper, a modified delayed mathematical model for the dynamics of HIV with cure rate is considered. By regarding the time delay as bifurcation parameter, stability and existence of local Hopf bifurcation are studied by analyzing the transcendental characteristic equation. Then the global existence of bifurcating periodic solutions is established with(More)
In this paper, a delayed model of gene expression with positive feedback loop is investigated. The model takes the form of delay differential equations. By choosing the time delay as bifurcation parameter, small amplitude periodic solutions are obtained due to Hopf bifurcation. Furthermore, global existence of bifurcating periodic solutions is established(More)
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