[The dynamics of HIV-AIDS in Cali]

Beatriz Salguero-Rivera1, Lilian S Sepúlveda-Salcedo, Daiver Cardona-Salgado

  • 1Universidad Autónoma de Occidente, Cali, Colombia. bsalguero@uao.edu.co

Insights

This study used the SIR model to analyze HIV-AIDS in Cali, finding it tends toward a stable endemic state. Reducing transmission probability can slow this trend and lower infection rates.

Area of Science:

  • Epidemiology
  • Mathematical Modeling

Context:

  • HIV-AIDS dynamics in Cali, Colombia.
  • Utilized the classical Kermack-Mckendric SIR model for analysis.
  • Assumed sexual transmission as the sole transmission route.

Purpose:

  • To model and predict long-term HIV-AIDS trends in Cali.
  • Estimate model parameters and basic reproductive numbers.
  • Analyze system equilibrium points and stability conditions.

Summary:

  • The SIR model identified two equilibrium points: an unstable disease-free state and a stable endemic state.
  • Simulations using 2008 data projected an endemic equilibrium within 100 years.
  • Reducing transmission probability was shown to slow the endemic trend and decrease peak infections.

Impact:

  • Provides insights into HIV-AIDS epidemiological trends in Cali.
  • Demonstrates the utility of mathematical modeling in public health.
  • Suggests potential intervention strategies for disease control.

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