  With the launch of second line anti-retroviral therapy for HIV infected
individuals, there has been an increased expectation on surviving period of
people with HIV. We consider previously well-known models in HIV epidemiology
where the parameter for incubation period is used as one of the important
components to explain the dynamics of the variables. Such models are extended
here to explain the dynamics with respect to a given therapy that prolongs life
of an HIV infected individual. A deconvolution method is demonstrated for
estimation of parameters in the situations when no-therapy and multiple
therapies are given to the infected population. The models and deconvolution
method are extended in order to study the impact of therapy in age-structured
populations. A generalization for a situation when n-types of therapies are
available is given. Models are demonstrated using hypothetical data and
sensitivity of the parameters are also computed.
