Coexistence and Extinction of species of Competition Model

Ecosystems consist of numerous species all going for the same resources. This delicate existence can be represented by the competition model where two similar species are in constant struggle to attain the same means of survival. On the African grasslands, lions and hyenas both go after prey species and will fight one another for food and territory. Due to their interspecific competition, the organisms can be placed in a Lotka-Volterra competition model where the effect of one individual species on another species population growth can be determined using nondimensional methods (α & β). This paper will solve for stability of the system by using conditional, dimensionless parameter analysis to calculate if interspecific species can coexist or go to extinctions using the principle of competitive expulsion.