Mathematical Framework of Polio Transmission Model with Vector and Incomplete Vaccination Nur Rahmi, Wahyuni Ekasasmita
Institut Teknologi Bacharuddin Jusuf Habibie
Abstract
Polio, a debilitating disease caused by poliovirus, remains a significant public health challenge, particularly
for children under five. Despite global efforts to expand immunization and surveillance systems, outbreaks
continue due to gaps in vaccination coverage and the role of environmental vectors. This work creates a
thorough analytical framework to investigate the dynamics of polio transmission, considering partial vaccination
and virus-carrying vectors. The model assesses the stability of endemic and illness-free steady points and
reveals that polio eradication is possible if the basic reproduction number remains less than one. Numerical
simulations highlight the critical impact of complete vaccination and improved sanitation on reducing the basic
reproduction number and controlling the spread of polio. Our findings underscore the necessity of rigorous
vaccination programs and environmental hygiene to achieve long-term polio eradication.
