This course will introduce differential equation modeling of infectious disease transmission and interventions. The deterministic transmission models will be presented first as transfer diagrams and then as systems of simultaneous nonlinear differential equations. After introducing the basic concepts in an SIS model, an SIR epidemic model, and an SIR endemic model, generalizations such as multi-group and age-structured models will be considered. Expressions will be obtained for the contact number, the basic reproduction number Ro and the replacement number in each model. Sources of oscillations and periodicity in disease incidence in endemic models will be presented. There will be a special emphasis on the evaluation and comparison of vaccination programs. Applications will be presented for specific diseases such as measles, rubella, smallpox, polio, varicella (chickenpox) pertussis, influenza, rabies, and gonorrhea.