SOME LOTKA-VOLTERRA MAPPINGS WITH A DEGENERATE SKEW-SYMMETRIC MATRIX, AND THEIR RELATION TO EPIDEMIOLOGICAL SITUATIONS.

In the paper, we consider the Lotka-Volterra mappings, with a degenerate skew-symmetric matrix, acting in the three-dimensional simplex. We analyze the case, which can be considered as a model for studying airborne diseases. This model includes both recovery and death of the sick. [ABSTRACT FROM AUTHOR]