Mathematical models of erythema

In this paper, mathematical models of two forms of erythema are developed. The local model is represented by the Cauchy problem for a system of ordinary differential equations. The reaction of the immune system to the appearance of parasites in the body is taken into account. The treatment model is interpreted as an external influence in the form of medico-comatose treatment or chemotherapy. The distribution of parasites on the surface is described by a system of partial differential equations in the presence of a replenished or non-replenished trophic resource.