An Analysis of the Coexistence of Three Competing Species with a Shared Pathogen

We consider an SI model of three competing species that are all a ffected\ud by a single pathogen which is transmitted directly via mass action. The total\ud population sizes of the three species satisfy a three-dimensional Lotka-Volterra\ud competition model. We address the interaction between competition and disease dynamics, and show that infected coexistence in the model is determined\ud by the values of the basic reproduction numbers as well as the relative strengths\ud of intra-specific crowding versus inter-specific competition for all three species