One of the characteristics of viruses is the stiffness of the virus shell. In the following review, the virus shell can be assumed to be a spring. The value of stiffness of the virus shell is different for various viruses depending on intrinsic properties (i.e. modulus of elasticity) and extrinsic properties (i.e. radius and thickness of the virus shell). In this paper, we analyze the value of stiffness of the virus shell by analytical dan simulation. The analytical method is based on plate and shell theory and Michell solution. The other, the simulation is based on finite element analysis (FEA) method. We examine the elasticity constants of two types of viruses, namely HIV-1 (mature) and HIV-1 (immature) viruses. It was found that the HIV-1 virus (mature) had a smaller elasticity constant than the elasticity constant of the HIV-1 virus (immature). This is closely related to the characteristics of the virus, i.e. size, thickness, and intrinsic properties of the virus. Viruses with smaller shell thickness have lower elasticity constants, so they are more efficient at infecting host cells than viruses with higher elasticity constants.