epidemic dynamics and adaptive vaccination strategy: renewal equation approach

TL;DR

This paper analytically examines how adaptive vaccination strategies, modeled via renewal equations, can significantly reduce infection forces and potentially eradicate endemic diseases in both closed and open populations.

Contribution

It introduces an analytical approach using renewal equations to evaluate the impact of vaccination strategies on disease dynamics, extending previous models.

Findings

Vaccination reduces the force of infection significantly.

Endemic steady states can be transformed into disease-free states.

The model highlights the importance of vaccine effectiveness and vaccination rate.

Abstract

We use analytical methods to investigate a continuous vaccination strategy effects on the infectious disease dynamics in a closed population and a demographically open population. The methodology and key assumptions are based on Breda et al (2012). We show that the cumulative force of infection for the closed population and the endemic force of infection in the demographically open population can be reduced significantly by combining two factors: the vaccine effectiveness and the vaccination rate. The impact of these factors on the force of infection can transform an endemic steady state into a disease-free state. Keywords: Force of infection, Cumulative force of infection, Scalar-renewal equation, Per capita death rate, Lambert function, adaptive vaccination strategy