Viral evolution model with several time scales

In this paper a viral evolution model with specific immune response is considered. By introducing of dimensionless variables and parameters this model can be modified to the singularly perturbed system of partial integro-differential equations with two small parameters. The transition from the initial-boundary value problem of the initial system to the generating problem makes it possible to reduce the dimension of the system and, as a consequence, to reduce the computational volume. The theorem on the passage to the limit is also represented.