Abstract
The problems that arose as a result of the rapid spread of the new coronavirus infection COVID-19 and the inability of health care institutions to provide the necessary medical care to a large number of patients in a timely manner showed the need to develop new approaches to diagnosis and the formation of an individual treatment program. Important in this direction is the development and implementation of specialized decision support systems based on the integration of expert systems for the analysis and interpretation of medical data and mathematical modeling tools. In order to form effective treatment programs, it is necessary to ensure the availability of reliable tools for predicting the dynamics of the disease in the conditions of external medical influences, various protection mechanisms, spatial effects, mixed infections etc. The purpose of this work is to generalize the basic model of viral infection to predict the complex controlled influence of adsorption and immune therapy on the development of the disease, taking into account diffusion disturbance and temperature response of the body, which is an important element of specialized decision-making systems for the formation of effective treatment programs. To find the solution of the original model singularly perturbed problem with delays, the procedure of stepwise numerical asymptotic approximation of the solutions of the corresponding specially constructed sequence of problems without delay has been modernized. Based on the obtained results of computer modeling, it was confirmed that the introduction of adsorbents during periods of intensive growth of the number of viral elements makes it possible to sufficiently effectively reduce the rate of their reproduction, and, therefore, provides an additional way of controlling the number of antigens in the body and preventing their supercritical growth. It is emphasized that taking into account the features of the action of adsorption drugs is important for making optimized decisions regarding the use of adsorption therapy
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