Anna Maria Spagnuolo and Kasia Anna Pawelek, Department of Mathematics and Statistics, Oakland University Title: Mathematical Models of Chagas Disease and Numerical Simulations Abstract: Chagas disease is a parasitic disease infecting humans and other mammals throughout Central and South America. We will present some recent mathematical models for the domestic transmission of Chagas disease. The models consist of four nonlinear differential equations that describe the rate of change of the total number of vectors, the number of infected vectors, the number of infected humans, and the number of infected mammals in the domestic setting. The models have time-dependent coefficients to represent seasonality. Simulations will be presented and studied in this workshop, using representative examples of villages. The software used will include gfortran, Tecplot, and Mathematica.