Abstract
In [1], we study the mathematical model of two host species competing for a single-limit resource mediated by parasites. Now we assume that there is cross infection between the two host species. We assume that when there is no parasite, species 1 with the smallest break-even concentration, outcompetes species 2. We analyze the model by finding the conditions for the existence of various equilibria, and doing their stability analysis. Finally we compare the results in this paper with those in [1].