Statistical and Mathematical Approaches in HIV/AIDS Modeling: A Review -- I. Statistical Methodology and Forecasting -- Epidemic Models, Empirical Studies, and Uncertainty -- Predicting AIDS Incidence by Extrapolating from Recent Trends -- II. Infectivity and the Human Immunodeficiency Virus (HIV) -- Measuring HIV Infectivity -- The Stages of HIV Infection: Waiting Times and Infection Transmission Probabilities -- Modeling Heterogeneity in Susceptibility and Infectivity for HIV Infection -- On the Role of Variable Infectivity in the Dynamics of the Human Immunodeficiency Virus Epidemic -- III. Heterogeneity and HIV Transmission Dynamics -- Assessment of the Risk of HIV Spread Via Non-steady Heterosexual Partners in the U. S. Population -- On the Role of Long Incubation Periods in the Dynamics of Acquired Immunodeficiency Syndrome (AIDS). Part 2: Multiple Group Models -- Nonrandom Mixing Models of HIV Transmission -- IV. Social Dynamics and AIDS -- The Structure and Context of Social Interactions and the Spread of HIV -- Pair Formation in Sexually-Transmitted Diseases -- Mixing Framework for Social/Sexual Behavior -- Interaction, Pair Formation and Force of Infection Terms in Sexually Transmitted Diseases -- Structured Mixing: Heterogeneous Mixing by the Definition of Activity Groups -- Selective Contact within Structured Mixing with an Application to HIV Transmission Risk from Oral and Anal Sex -- V. The Immune System and the HIV -- Modeling the Interaction of the Immune System with HIV -- Modeling the Interaction of HIV with Cells of the Immune System -- When HIV meets the Immune System: Network Theory, Alloimmunity, Autoimmunity, and AIDS.