The mathematical modelling of meningococcal meningitis and implications for the control of meningitis in sub-Saharan Africa
Submitting Institution
University of SussexUnit of Assessment
Mathematical SciencesSummary Impact Type
HealthResearch Subject Area(s)
Mathematical Sciences: Statistics
Medical and Health Sciences: Medical Microbiology, Public Health and Health Services
Summary of the impact
Meningococcal meningitis affects up to 100,000 people and causes around
10,000 deaths annually
in the African `meningitis belt', a region of sub-Saharan Africa
stretching from Senegal in the west
to Ethiopia in the east. Dr Blyuss has developed a mathematical model that
is able to explain the
observed patterns of dynamics of this disease in terms of immunity and
seasonality. This model is
currently used by the Meningitis Vaccine Project to design optimal
strategies for the control of
meningococcal meningitis in the endemic areas, to inform specific
public-health decisions
regarding the deployment of the MenAfriVac™ vaccine, and to assess its
effectiveness. Other
epidemiologists, including those at the World Health Organization (WHO),
are also using the model
to improve public-health policies aimed at combating meningitis.
Underpinning research
In collaboration with colleagues from the University of Bristol, Blyuss
has developed a
mathematical model of transmission of meningococcal meningitis, which is
able to qualitatively
reproduce different types of observed disease patterns.
Twenty-six countries in sub-Saharan Africa suffer from a higher incidence
of meningococcal
meningitis every dry season and experience major outbreaks of the disease
every 6-14 years,
causing tens of thousands of deaths, with a case-fatality rate of 5-15%.
Substantial
epidemiological and clinical data on meningococcal meningitis are
available from different areas
inside the meningitis belt — primarily from Niger, Mali and Burkina Faso —
and several models have
been put forward to explain these data. A number of environmental factors
are believed to be
important in explaining the observed seasonality in meningitis incidence,
and several alternative
hypotheses have been proposed to explain how these factors affect disease
transmission. Despite
some successes with the existing models, the precise causes of observed
irregularities in the
dynamics of meningococcal meningitis and the relative roles played by
different factors have
remained poorly understood. One of the biggest challenges for current
understanding of the
meningococcal meningitis specifically in the `meningitis belt' is that the
available data for this region
are in contradiction with the classic Goldschneider paradigm that asserts
an inverse relationship
between the age-specific disease risk and immunity.
The model developed by Blyuss and his colleagues explicitly includes
temporary immunity, as well
as two possible types of seasonality: variation in disease transmission
and changes in the rate of
progression from carriage to invasive disease [see Section 3, R1]. Having
fixed other demographic
parameters at certain biologically realistic values, numerical simulations
have been performed for
various values of the disease transmission rate and the duration of
temporary immunity to identify
different dynamical regimes, as well as to explore the effects of these
parameters on the inter-epidemic
period. The main academic significance of this work lies in the
highlighting of a
fundamental role of temporary immunity and its interactions with
seasonality in the dynamics of
meningococcal meningitis. It also adds weight to an alternative
explanation of why observed data
contradict the classical view of the relation between disease risk and
immunity.
Konstantin Blyuss began his work in this area looking at models of
antigenic variation in malaria
and the dynamics of dengue fever (R3, R4). On moving to Sussex in 2010 he
began the work on
meningococcal meningitis, that underpins this case study. Blyuss worked
with PhD student Tom
Irving (University of Bristol), Caroline Colijn (University of Bristol)
and Caroline Trotter (University of
Bristol). Blyuss's previous experience in mathematical modelling of
infectious diseases [R2-R4]
meant that he was responsible for development and analysis of the model
for the dynamics of
meningococcal meningitis. This included performing analytical calculations
and numerical
simulations, and interpreting the results.
References to the research
The mathematical model described in Section 2, that underpins the impact
of this case study, has
been published in:
R1 Irving, T.J., Blyuss, K.B., Colijn, C. and Trotter, C.L. (2012)
`Modelling meningococcal
meningitis in the African meningitis belt', Epidemiology and Infection,
140(5): 897-905.
This paper proposes a model of the dynamics of meningococcal meningitis,
which provides a
comprehensive explanation of observed patterns of the disease in terms of
duration of the
immunity period, as well as seasonal variation in the transmissibility of
infection or the rate of
disease progression. It utilises the dynamical systems methodology as used
previously by
K.B. Blyuss in the studies of other infectious diseases.
Blyuss' previous expertise in this area:
R2 Blyuss, K.B. and Kyrychko, Y.N. (2010) `Stability and
bifurcations in an epidemic model with
varying immunity period', Bulletin of Mathematical Biology, 72(2):
490-505.
R3 Blyuss, K.B. and Gupta, S. (2009) `Stability and bifurcations
in a model of antigenic variation
in malaria', Journal of Mathematical Biology, 58(6): 923-937.
R4 Recker, M., Blyuss, K.B. and Simmons, C.P. et al.
(2009) `Immunological serotype
interactions and their effect on the epidemiological pattern of dengue', Proceedings
of the
Royal Society B, 276(1667): 2541-2548.
Outputs R1, R2, R4 best indicate the quality of the underpinning
research.
Outputs can be supplied by the University on request.
Details of the impact
To combat the devastating effect of meningococcal meningitis on
communities in the African
`meningitis belt', the international Meningitis Vaccine Project, funded by
the Gates Foundation and
the WHO, has been working since 2001 on developing an effective and cheap
vaccine to be
deployed in affected countries. The resulting MenAfriVac™ vaccine has
completed its trials; in
2010 it was rolled out in Burkina Faso, Mali and Niger and, in
October-December 2012, it was
introduced in 7 more countries. The goal is to cover all 26 countries by
2016.
From a public-health perspective, there are two major issues with the
introduction of the
MenAfriVac™ vaccine. The first concerns the logistical constraints of
optimising a vaccination
campaign to target those individuals most at risk of infection, and the
second is the need for a
robust means of assessment of the population-wide efficiency of the
vaccine. The model
developed by Blyuss and his colleagues is helping public-health
professionals on the ground to
address both of these issues. Through close collaboration with the
MenAfriCar Consortium, we
have ensured that the results of the research do not remain academic but
rather are translated into
practical recommendations for the design of optimal vaccination strategies
in vaccine deployment
and for assessment of the efficacy of the new vaccine. Experts from the
international MenAfriCar
Consortium have used the model and its subsequent developments (an
age-structured and meta-population
version of the model) to understand the prevalence, incidence and relative
impact of
different risk factors in the endemic areas. Furthermore, they have used
this work to develop
targeted, age-structured vaccination strategies [see Section 5, C3].
Besides MenAfriVac™ vaccine deployment, the results of the underpinning
research have also
been taken up by the MERIT (Meningitis Environment Risk Information
Technologies) Project
coordinated by the World Health Organization for the purposes of disease
surveillance [C4], and
epidemiologists from the GAVI (Global Alliance for Vaccines and
Immunisation) are developing
further detailed models for the assessment of effects of vaccine
interventions based on the Blyuss
model [C7].
Since its publication in March 2012, this work has received substantial
interest [C5-C8] from
epidemiologists and public-health professionals. As, at present, there are
several alternative
hypotheses for the role of different epidemiological and environmental
factors in the dynamics of
meningococcal meningitis, the work has provided a new level of
understanding of the relative
contributions of those factors. This has resulted in a radically improved
understanding of the
dynamics of meningococcal meningitis by epidemiologists and clinical
scientists, thus helping them
to design and deliver efficient public-health policies aimed at combating
the disease.
Sources to corroborate the impact
C1 Member of the MenAfriCar Consortium, Cambridge University).
Can corroborate how the mathematical model we derived and analysed has
influenced and
has been the basis for development of optimal vaccination strategies aimed
at controlling
meningococcal meningitis in the African meningitis belt.
C2 Programme Manager of the MenAfriCar Consortium, London School
of Hygiene and Tropical
Medicine).
Can confirm that the mathematical model has had a major effect on how
epidemiologists on
the ground in the African meningitis belt view and interpret the
population-level dynamics of
meningococcal meningitis, and on the development of optimal vaccination
strategies in
preparation for the deployment of the new meningococcal vaccine.
References shown below indicate some recent publications where the
results of the analysis were
interpreted in the light of our work highlighting the role of immunity in
the dynamics of meningitis.
C3 MenAfriCar Newsletter, August 2012.
(http://www.menafricar.org/sites/www.menafricar.org/files/Newsletter%20final.pdf)
C4
- Thomson, M.C., Firth, E., Jancloes, M., Mihretie, A., Onoda, M.,
Nickovic, S., Bertherat,
E. and Hugonnet, S. (2011) `Climate and public health — the MERIT
initiative: a climate
and health partnership to inform public health decision makers'. World
Climate Research
Programme.
- Thomson, M.C., Firth, E., Jancloes, M., Mihretie, A., Onoda, M.,
Nickovic, S., Broutin, H.,
Sow, S., Perea, W., Bertherat, E. and Hugonnet, S. (2013) `A climate and
health
partnership to inform the prevention and control of meningococcal
meningitis in sub-Saharan
Africa: the MERIT initiative', in Asrar, G.R. and Hurrell, J.W. (eds) Climate
Science
for Serving Society: Research, Modeling and Prediction Priorities.
Springer, 459-484.
C5 Paireau, J., Girond, F., Collard, J.-M., Maïnassara, H.B. and
Jusot, J.-F. (2012) `Analysing
spatio-temporal clustering of meningococcal meningitis outbreaks in Niger
reveals
opportunities for improved disease control', PLOS Neglected Tropical
Diseases, 6: e1577.
`Recently, Irving et al. suggested that population immunity may
be a key factor in causing the
unusual epidemiology of meningitis in the Belt'.
C6 Agier, L., Deroubaix, A., Martiny, N., Yaka, P. Djibo, A. and
Broutin, H. (2013) `Seasonality of
meningitis in Africa and climate forcing: aerosols stand out', Journal
of the Royal Society
Interface, 10(79): 1742-5662.
`The current epidemiological [Irving et al.]...models for
meningitis considered ... seasonality
of the meningitis transmission dynamics. We now suggest integrating dust
data into these
models to make them more realistic and usable in a public health
perspective'.
C7 Papaevangelou, V. and Spyridis, N. (2012) `MenACWY-TT vaccine
for active immunization
against invasive meningococcal disease', Expert Review of Vaccines,
11(5): 523-537.
C8 Trotter, C.L. Yaro, S. and Njanpop-Lafourcade B.M. et al.
(2013) `Seroprevalence of
bactericidal, specific IgG antibodies and incidence of meningitis due to
group A Neisseria
meningitides by age in Burkina Faso', PLoS ONE, 8(2): e55486.
`Such hypothesis needs to be considered critically, as the regular
recurrence of epidemic
waves strongly suggest, according to general infectious disease dynamics
and recent
modelling evaluation [Irving et al.], a major role of acquisition
and waning of natural
immunity'.