Summary: The paper deals with the analysis of some of

*G. I. Marchuk*’s [Mathematical models in immunology. (1983;

Zbl 0556.92006)] and

*G. I. Marchuk* and

*R.V. Petrov*’s [Vychisl. Protsessy Sist. 3, 5–11 (1985;

Zbl 0596.92006)] models of the immune response of organisms. The models are described by using systems of functional-differential equations. In addition to problems of stability, statements of control problems for a simple immunological model with temperature reaction of organisms is also presented in the paper. Besides, conditions of asymptotic stability as a whole for the Marchuk-Petrov model of immunophysiological reactions of defense and the properties of controllability and stabilization are analyzed as well.