Stability and Bifurcation Analysis for an Improved HIV Model with Time Delay and Cure Rate

نویسندگان

  • Kejun Zhuang
  • Hailong Zhu
چکیده

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 the assistance of global Hopf bifurcation theory. Finally, some numerical examples are given. Key–Words: HIV, Hopf bifurcation, stability, delay

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تاریخ انتشار 2013