Compositions of lotka-volterra mappings operating in a two-dimensional simplex, relation to viral diseases and their numerical analysis

Аннотация

In the paper, we consider compositions of Lotka-Volterra mappings acting in a twodimensional simplex, with strong and mutually backward directed tournaments. Fixed points are found for the compositional mapping, and their characters are studied. The trajectories of interior points of the compositional mapping are considered. It is shown that compositional mapping can be used as a model for describing sexually transmitted viral diseases. A package of applied programs has been compiled to study the course of the disease of such diseases and the boundaries of contact with the infected layer of the population of susceptible and recovered are shown, as well as a numerical analysis of such situations has been made