Measures to assess a vaccination coverage in a stochastic SIV model with imperfect vaccine

  1. Gamboa Pérez, María 1
  2. López Herrero, María Jesús 1
  1. 1 Universidad Complutense de Madrid
    info

    Universidad Complutense de Madrid

    Madrid, España

    ROR 02p0gd045

Proceedings:
International Society for Mathematical Biology (SMB'21)

Publisher: Society for Mathematical Biology

ISSN: 0022-2526

Year of publication: 2021

Type: Conference paper

DOI: 10.1111/SAPM.12479 GOOGLE SCHOLAR lock_openDocta Complutense editor

Sustainable development goals

Abstract

A stochastic Markovian Susceptible-Infectious-Susceptible (SIS) model, with infection reintroduction is considered to represent the evolution of an epidemic process within a finite population. Disease is assumed to be a contact disease whose effect can be prevented by a vaccine. Before the epidemic process emerges, individuals got vaccinated to assure that the population is protected by herd immunity. In consequence, we formulate the model by adding a new compartment for vaccine protected individuals. The administered vaccine is not a perfect one and consequently it fails in a proportion of vaccinated individuals that are not protected against the vaccine preventable communicable disease. Hence, while the infectious process is in progress, the initial vaccine coverage declines and herd immunity could be lost. A threshold on the size of the vaccinated group is included as a warning measure on the protection of the community. Our objective is to define and study random characteristics, depending on the vaccination eligible group, that could advise health authorities when to launch a new vaccination program to recover the initial immunity level.

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