Comprehensive Glossary for Infectious Disease Modelling

Introduction

In the current literature, there is considerable heterogeneity in common terms related to infectious disease epidemiology and modelling. Furthermore, definitions of these terms are not often provided in research papers. This glossary presents a comprehensive list of terms and their definitions to unify the use and interpretation of infectious disease epidemiology and modelling terminology. Although the most frequently used definitions were included in this glossary, researchers may have alternative definitions for certain terms in the context of their research. Therefore, it is recommended that the readers first check for definitions provided by the authors when reading infectious disease mathematical modelling publications.

Filters

Analytical solution

General modelling terms
Solving equations to reach a solution pertaining to the relationships between model parameters and outcomes.

Calibration (model fitting)

General modelling terms
Fitting of model parameters to data. This is one step in model development to ensure that the model output is representative of the data used.
The validity of model outcomes and results.

Forcing (extrinsic forcing)

General modelling terms
Adapting parameter values according to changes (e.g., behavioral, environmental).

Kendall tau distance

General modelling terms
A measure of the difference between two ranked, pairwise lists. Statistically, the Kendall tau distance measures the strength of the relationship between two variables.
A simplified representation of a real-world phenomenon.

Monte Carlo simulation/ Monte Carlo method/ multiple probability simulation

General modelling terms
A mathematical technique predicting outcomes of an uncertain situation, which produces an estimate range of values using probability distributions. This method is used with stochastic models (i.e., compartmental, network, individual-based) and employs random sampling.

Numerical solution

General modelling terms
In stochastic models, Numerical solution refers to events arising from probability at each time point. In compartmental models (whether deterministic or stochastic), Numerical solution indicates differential equations derived from computer programming or approximation techniques.

Ordinary differential equations

General modelling terms
Equations used to illustrate the relationships between the dependent and independent variables following calculus principles.

Seed or initial conditions

General modelling terms
A State variable often referring to the number of individuals who are infectious (seed), at the start of an epidemic simulation.