Jawdat Alebraheem, Yahya Abu-Hasan, Efficient Biomass Conversion and its Effect on the Existence of Predators in a Predator-Prey System, Research Journal of Applied Sciences, Volume 8,Issue 5, 2013, Pages 286-295, ISSN 1815-932x, rjasci.2013.286.295, (https://makhillpublications.co/view-article.php?doi=rjasci.2013.286.295) Abstract: Understanding the dynamics of predator-prey species can lead us to insights in the species interactions. In this study, a Mathematical Model of two predators sharing a prey in a homogeneous environment is introduced where different functional responses are used to describe rates of consumption of the prey. The model represents a Kolmogorov Type Prey Predator System. The equilibrium points of the system are obtained and their stability is discussed. The conditions of coexistence and extinction for the predators are obtained for a non-periodic solution and this depends on the conversion efficiency of prey biomass into predator offspring. Keywords: Predator-Prey Model;efficiency conversion;Kolmogorov;coexistence;biomass