From regional pulse vaccination to global disease eradication: insights from a mathematical model of poliomyelitis

  title={From regional pulse vaccination to global disease eradication: insights from a mathematical model of poliomyelitis},
  author={Cameron J. Browne and Robert J. Smith and Lydia Bourouiba},
  journal={Journal of Mathematical Biology},
Mass-vaccination campaigns are an important strategy in the global fight against poliomyelitis and measles. The large-scale logistics required for these mass immunisation campaigns magnifies the need for research into the effectiveness and optimal deployment of pulse vaccination. In order to better understand this control strategy, we propose a mathematical model accounting for the disease dynamics in connected regions, incorporating seasonality, environmental reservoirs and independent… 
Global Stability of a SVEIR Epidemic Model: Application to Poliomyelitis Transmission Dynamics
The impact of vaccination in the control of spread of poliomyelitis is assessed via a deterministic SVEIR (Susceptible-Vaccinated-Latent-Infectious-Removed) model of infectious disease transmission, where vaccinated individuals are also susceptible, although to a lesser degree.
The case for periodic OPV routine vaccination campaigns.
  • N. Houy
  • Medicine
    Journal of theoretical biology
  • 2016
Mathematical analysis of the impact of vaccination and poor sanitation on the dynamics of poliomyelitis
Abstract A deterministic model is developed to study the dynamics of poliomyelitis virus infection with vaccination in a population with insanitary conditions. The polio-free equilibrium is shown to
Optimal vaccination strategies and rational behaviour in seasonal epidemics
A SIRS model with time dependent transmission rate is considered which confers the same immunity as natural infection and the existence of both optimal and Nash strategies in a general setting is shown.
Theoretical assessment of the impact of environmental contamination on the dynamical transmission of polio
A mathematical model for the dynamical transmission of polio is considered, with the aim of investigating the impact of environment contamination. The model captures two infection pathways through
Review of poliovirus modeling performed from 2000 to 2019 to support global polio eradication
This review systematically evaluates the polio transmission and health economic modeling papers published in English in peer-reviewed journals from 2000 to 2019, highlights differences in approaches and methods, shows the geographic coverage of the transmission modeling performed, identified common themes, and discusses instances of similar or conflicting insights or recommendations.
Did we Eradicate SARS? Lessons Learned and the Way Forward
Despite strong biological, technical and cost-benefit arguments for infectious-disease eradication, securing societal and political commitments is often a substantial challenge and results dependent on the level of control adopted.
Dissecting recurrent waves of pertussis across the boroughs of London
Pertussis has resurfaced in the UK, with incidence levels not seen since the 1980s. While the fundamental causes of this resurgence remain the subject of much conjecture, the study of historical


Pulse vaccination strategy in the SIR epidemic model
Theoretical results show that the measles ‘pulse’ vaccination strategy can be distinguished from the conventional strategies in leading to disease eradication at relatively low values of vaccination.
Pulse mass measles vaccination across age cohorts.
The theoretical results indicate that the advantages and disadvantages of a pulse strategy should be seriously examined in Israel and in countries with similar patterns of measles virus transmission.
Transmissibility and persistence of oral polio vaccine viruses: implications for the global poliomyelitis eradication initiative.
The findings indicate that OPV viruses could persist under various plausible circumstances, and that this potential should be a major consideration when planning the cessation of OPV vaccination.
National immunization days: state of the art.
With strong routine immunization programs and the effective implementation of NIDs, "mop-up" campaigns, and acute flaccid paralysis surveillance, the goal of global polio eradication will be achieved.
Pulse vaccination strategies in a metapopulation SIR model.
  • Alan J. Terry
  • Medicine
    Mathematical biosciences and engineering : MBE
  • 2010
We examine a model for a disease with SIR-type dynamics circulating in a population living on two or more patches between any pair of which migration is allowed. We suppose that a pulse vaccination
Determination of optimal vaccination strategies using an orbital stability threshold from periodically driven systems
Analysis of a periodically driven SIR epidemic model for childhood related diseases reveals that periodic vaccination strategy hardly contributes to the stability of the uninfected solution if the human residence time (life span) is much larger than the contact rate period.
The effects of population dispersal and pulse vaccination on disease control
The epidemic threshold of vector-borne diseases with seasonality
A mathematical model is developed which takes into account the seasonality of the vector population and the distribution of the latent period from infection to symptoms in humans and suggests that the epidemic could be stopped if the vectors population were reduced by a factor.
The Role of Environmental Transmission in Recurrent Avian Influenza Epidemics
It is proposed that, in addition to direct fecal/oral transmission, birds may become infected by ingesting virions that have long persisted in the environment, and a new host–pathogen model is designed that combines within-season transmission dynamics, between-season migration and reproduction, and environmental variation.
Transmission dynamics for vector-borne diseases in a patchy environment
The model incorporates into the classic Ross–MacDonald model two factors: disease latencies in both hosts and vectors, and dispersal of hosts between patches, which can be useful to health organizations at various levels for setting guidelines or making policies for travels.