The role of saturated incidence and treatment rates on the dynamics of epidemiological model

Abstract

This paper examines an epidemic model of the SEIR type that was created to account for the impact of immunization campaigns and saturated therapy. To determine the effects of inadequate health care and the efficacy of vaccinations in halting the spread of infection, the model was mathematically examined. Both local and global stability were examined, and equilibrium points were computed. Additionally, the pattern may exhibit inverse branching, according to the research, suggesting that the sickness can persist even when R₀<1. A sensitivity study was used to determine which aspects of the proliferation dynamic were most crucial. Numerical findings corroborate theoretical predictions and highlight the need to combine medication and vaccination as effective epidemic management strategies.