Population projections for AIDS using an actuarial model

Area of Science:

• Epidemiology
• Mathematical Modeling
• Public Health

Background:

• Forecasting Acquired Immunodeficiency Syndrome (AIDS) is crucial for public health planning.
• Existing models may lack specificity regarding transmission routes and demographic factors.

Purpose of the Study:

• To detail an age-specific mathematical model for forecasting AIDS.
• To adapt the model for actuarial purposes and population projections.
• To analyze AIDS transmission specifically through homosexual contact.

Main Methods:

• Development of a compartmental model using differential equations for state transitions.
• Numerical solution methods outlined for model implementation.
• Inclusion of age-specificity and variations in transition intensities by age, duration, and calendar year.

Main Results:

• Detailed parameters for five distinct projection bases are provided.
• Numerical results are presented for the population of England and Wales.
• The model demonstrates applicability for homosexual transmission dynamics.

Conclusions:

• The developed model offers a robust framework for AIDS forecasting.
• Its age-specific nature and consideration of transition variations enhance projection accuracy.
• The model serves dual purposes in actuarial science and population studies.