Contribution to Competing Species Modeling with Distributed Delay

In this paper a competing species model is analyzed taking into account the seminal of Hsu, Hubbell and Waltman (1978), where two predators compete for common prey without interference between rivals. Here distributed delay introduced in each one equations predator populations same way as suggested by Wolkowicz, Xia & Ruan (1997), order to conversion time lag consumed biomass biomass. Using linear trick chain technique, solutions are from an “equivalent system” ordinary differential looking answer under what conditions will neither, one, or both survive, giving appropriate insight biological point view.