Two strain competition: Trypanosoma cruzi Marcel Mu˜ noz Figueroa 3 Xavier Mart´ ınez Rivera 2 Thomas Seaquist 1 Britnee Crawford 1 Anuj Mubayi 1 Kehinde Salau 4 Christopher Kribs-Zaleta 1 1.Department of Mathematics, University of Texas, Arlington 2.Departamento de Matem´ aticas, Universidad de Puerto Rico-Mayaguez 3.Departamento de Ingenier´ ıa, Universidad del Turabo 4.Department of Mathematics, Arizona State University 1