Mathematical analysis of a HIV model with frequency dependence and viral diversity.
We consider the effect of viral diversity on the human immune system with the frequency dependent proliferation rate of CTLs and the elimination rate of infected cells by CTLs. The model has very complex mathematical structures such as limit cycle, quasi-periodic attractors, chaotic attractors, and so on. To understand the complexity we investigate the global behavior of the model and demonstrate the existence and stability conditions of the equilibria. Further we give some theoretical considerations obtained by our mathematical model to HIV infection.
Iwami
Shingo
S
Graduate School of Science and Technology, Shizuoka University, Hamamatsu, Japan. f5745020@ipc.shizuoka.ac.jp
Nakaoka
Shinji
S
Takeuchi
Yasuhiro
Y
D000163:Acquired Immunodeficiency Syndrome / Q000276:immunology / Q000821:virology; D000465:Algorithms; D015496:CD4-Positive T-Lymphocytes / Q000276:immunology / Q000821:virology*; D049109:Cell Proliferation; D014644:Genetic Variation; D015658:HIV Infections / Q000175:diagnosis* / Q000453:epidemiology* / Q000821:virology*; D006801:Humans; D007107:Immune System; D008433:Mathematics; D008954:Models, Biological; D015233:Models, Statistical; D008962:Models, Theoretical