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Table 1 Variables and parameter descriptions

From: Incidence and admission rates for severe malaria and their impact on mortality in Africa

Name

Description

Variables

U

Incidence rate of uncomplicated clinical malaria (per 100,000 person per year)

S

Incidence rate of severe clinical malaria (per 100,000 person per year)

C

Incidence rate of total clinical malaria (C = U + S)

(per 100,000 person per year)

D

Incidence rate of malaria mortalitya (per 100,000 person per year)

μ

Proportion of severe cases treated as in-patients (−)

r

Ratio of severe to total clinical cases for in-patients (−)

Q

R

Case fatality rate (−)

Estimated public health impact (as malaria mortality) averted with maximal improvement to admittance of severe disease patient (μ = 1) (per 100,000 person per year)

\(\rho\)

The overall ratio of the number of deaths per year in WMR

(\(\hat{D}_{t}\)) [allowing for the national population (N)],

to that predicted by OpenMalaria (\(\bar{D}_{{t,\mu ,\bar{\varphi }_{1} }}\))

Subscripts

h

Indicates in-patient event

c

Indicates event in community

t

Indicates total events

PB

Indicates prediction-biased estimate

DA

Indicates deaths-adjusted estimate

\(\mu_{0}\)

Indicates estimate used in OpenMalaria analysis for the proportion of severe cases treated as in-patients (usually \(\mu_{0}\) = 0.48)

\(\overline{\varphi }_{x}\)

Indicates estimate calculated with the odds ratio of value \(\overline{\varphi }_{x}\)

Accents

\(\bar{}\)

Indicates estimation from OpenMalaria simulations

\(\hat{}\)

Indicates estimation from WMR

  1. aThe mortality rates from WMR are compared to the direct mortality from OpenMalaria, the additional indirect mortality due to co-morbidities is not considered