Compositions of Lotka–Volterra mappings as a model for the study of viral diseases

Abstract

In the paper, we consider compositions of Lotka-Volterra mappings operating in one-dimensional and two-dimensional simplexes with strong and mutually inversely directed tournaments. Fixed points for compositional mapping are found, and their characters are studied, as well as the trajectories of internal points for compositional mapping are studied. It is shown that compositional mappings can be used as a model for describing sexually transmitted viral diseases. More precisely, the composition of two mappings acting in a one-dimensional simplex is a composition of two discrete SI models, and the composition of mappings acting in a two-dimensional simplex is a composition of discrete SIRS models.

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DOI

10.1063/5.0194902

Citations and references