An investigation of systems of population models

The purpose of this thesis is to possibly help nontraditional, first-generation math students in their attempt at learning ordinary differential equations systems of population models with positive coefficients. I hope to accomplish this by building a guide containing some of the prerequisite mathematical concepts, demonstrating the procedures used while investigating the previously mentioned types of systems. The definitions of the vocabulary that is used to fully understand this process, the use of parameter population system to demonstrate the graphing program PPLANES, the explanation of the graphs created while using this program, and the use of Maple (Version 10) to find eigenvectors of the equilibrium points four case scenarios.