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1st Int. Transborder Conf. of the Timor Island: Timor %u2013 Science without borderDili, 7-8 May 2025165Modeling HIV-HBV Co-Infection Using the SVEIR Approach: A Case Study in KupangMaria Lobo*, Adelya Hanaya Mage and Ariyanto1Department of Mathematics, Faculty of Science and Engineering, Universitas Nusa Cendana, Indonesia*Corresponding author: maria_lobo@staf.undana.ac.idAbstractThe co-infection of HIV and Hepatitis B (HBV) presents a complex public health challenge due to shared transmission routes and synergistic disease progression. Understanding the epidemiological dynamics of co-infection is essential for designing effective control measures. This study employs a mathematical modeling approach using the Susceptible-Vaccinated-Exposed-Infected-Recovered (SVEIR) model to analyze the spread of HIV-HBV co-infection in Kupang City. The model incorporates key epidemiological parameters, including transmission rates, progression probabilities, vaccination coverage, and treatment effectiveness. The basic reproduction number (R%u2080) is calculated to be 1.36, indicating that the co-infection can persist in the population if left unchecked. A sensitivity analysis reveals that the HBV transmission rate (%ud835%udefd%ud835%udc35) and the disease progression rate (%ud835%udefe%ud835%udc35) are the most significant contributors to infection spread. Conversely, increased vaccination coverage (%ud835%udc63) and improved treatment accessibility (%ud835%udf0e%ud835%udc35) significantly reduce disease prevalence. Numerical simulations using MATLAB R2023a demonstrate that a combination of vaccination programs and antiviral treatments yields the most substantial decline in co-infection rates. The findings offer valuable insights for policymakers, healthcare providers, and public health authorities in formulating targeted, evidence-based interventions. By addressing both prevention and treatment simultaneously, it is possible to reduce the burden of HIV-HBV co-infection and improve overall health outcomes in affected communities. This study underscores the critical role of mathematical modeling in informing public health decision-making and optimizing resource allocation for disease control.Keywords: HIV-HBV co-infection, Mathematical modeling, SVEIR model, Basic reproduction number, Public health intervention, Vaccination strategies