: Human influenza is an infection of the upper respiratory tract and the major central airways. Spanish influenza which occurs in 1918-1919 is the most famous pandemic that kill 20-40 milion people in the world. Influenza transmits through aerosol small drops in talking or coughing. prevention from transmission of influenza through the air is impossible so immunization is the best way for control of virus. Entry of virus into the body, stimulate immune response. Immune system is composed of various cells that each type of cell has a special dynamics. We use mathematical models and simulation methods to clarify the mechanism of interaction between virus and host cell and to obtain dynamics of viral disease. These models describe how viruses spread from cell to cell. One of these models is ordinary diffrential equation. In this model concentration of viruses and cells are evaluated as a function of time using a system of diffrential equations. Quasispecies is another model which we use it for obtaining dynamics of an infection. A large number of important viruses including HIV, hepatitis C and influenza have RNA genomes. These viruses replicate with extremely high mutation rates and exhibit significant genetic diversity. A quasispecies is a cloud of diverse variants that are genetically linked through mutation. One of the simulation methods is cellular automaton. A cellular automaton is a discrete model studied in computability theory, mathematics and theoretical biology. CA are said to be discrete because they operate in finite space and time and with properties that can have only a finite number of states. In this thesis we review different models which have been applied to stimulate influenza A infection. In the end, we propose an algorithm which is based on a combinations of quasispecies and cellular automata approches to numerically simulate the influenza A infection. Keywords: Influenza A virus (IAV), Immune system, Cellular automata, Quasispecies, Orinary differential equation(ODE).
