MODELING SMALL-SCALE SPATIAL DISTRIBUTED INFLUENCES ON THE DYNAMICS OF INFECTIOUS DISEASE ON CONDITION OF PHARMACOTHERAPY

Abstract

This paper proposes modification of the simplest model of the infectious disease in the conditions of pharmacotherapy taking into account influence of small-scale spatial distributed diffusion influences. The singular disturbed model problem with time-delay is reduced to a sequence of problems without time-delay for which the corresponding representations of the asymptotic expansions of solutions are constructed. We present the results of numerical experiments that characterize the influence of spatial distributed diffusion «redistributions» of infectious disease factors on the development of the process on condition of pharmacotherapy. The decrease in the maximum level of concentration of pathogenic antigens in the locus of infection due to their diffusion «redistribution» is illustrated.