Immune Impairment and Immunodeficiency Thresholds in HIV Infection with General Incidence Rate
Author(s):
Alireza Ansari
Department of mathematics,
Sharif University of Technology,
P.O.Box: 11155-9414,
Tehran, Iran.
alireza_1038@yahoo.com
Mahmoud Hesaaraki
Department of mathematics,
Sharif University of Technology,
P.O.Box: 11155-9414,
Tehran, Iran.
hesaraki@sharif.ed
Abstract:
In previous works we used a linear incidence rate
into a mathematical model to examine the immune impairment for
a proliferation model of CTL responses in the immune response to HIV.
Under the assumption that the immune impairment increases over the HIV
infection, they classified four processes of the disease progression dynamics,
according to their virological properties. In particular they showed
that a typical disease progression presents a risky threshold and an
immunodeficiency threshold. Moreover the immune system might collapse
when the impairment rate of HIV exceeds a threshold value.
On the other hand if the immune impairment rate never exceeds
the threshold value, the viral replication is well controlled
by CTL responses. In this paper we show that all of the above
results remain valid if we use a general functional response
as the incidence rate into the above mathematical model.
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