Transcritical bifurcation of animmunosuppressive infection model

In this paper, the dynamic behavior of an immunosuppressive infection model, speci cally AIDS, is analyzed. We show through a simple mathe- matical model that a sigmoidal CTL response can lead to the occurrence of transcritical bifurcation. This condition usually occurs in immunode ciency virus infections (such as AIDS infection) in which viruses attack immunecells CD4+T. Our results imply that the dynamic interactions between the CTL immune response and HIV infection are very complex and in the CTL response, dynamics can exist the stable regions and unstable regions. At the end of the paper, numerical simulations are presented to illustrate the main results.

کلیدواژه ها:

CTL response ، HAM/TSP ، Transcritical bifurcation