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ms_submit.tex
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%Based on Version 1.2 of SN LaTeX, November 2022
\documentclass[referee,sn-basic]{sn-jnl}% referee option is meant for double line spacing
%% BMB: built-in 'lineno' option is horribly ugly
%% but line numbers still seem fragile ... ??
\usepackage{lineno}
%%\documentclass[lineno,sn-basic]{sn-jnl}% Basic Springer Nature Reference Style/Chemistry Reference Style
%\documentclass[pdflatex,sn-basic]{sn-jnl}% Basic Springer Nature Reference Style/Chemistry Reference Style
%%%% Standard Packages
%%<additional latex packages if required can be included here>
\usepackage{placeins}
\usepackage{graphicx}%
\usepackage{multirow}%
\usepackage{amsmath,amssymb,amsfonts}%
\usepackage{amsthm}%
\usepackage{mathrsfs}%
\usepackage[title]{appendix}%
\usepackage{xcolor}%
\usepackage{textcomp}%
\usepackage{manyfoot}%
\usepackage{booktabs}%
\usepackage{algorithm}%
\usepackage{algorithmicx}%
\usepackage{algpseudocode}%
\usepackage{listings}%
\usepackage{svg}%
\usepackage{xspace}
\usepackage{array}
%%%%
%\jyear{2023}% Original template has 2021 here, Im not actually sure what it does but I updated it to the current year
\theoremstyle{definition}
\newtheorem{theorem}{Theorem}
\newtheorem{definition}{Definition}
\newtheorem{proposition}[theorem]{Proposition}
\newtheorem{lemma}[theorem]{Lemma}
\newtheorem{corollary}[theorem]{Corollary}
\newtheorem{remark}{Remark}
\newtheorem{example}{Example}
\newcommand{\term}[1]{{\bfseries\slshape#1}}
\newcommand{\ie}{\emph{i.e.}\xspace}
\newcommand{\pc}{\emph{per capita}\xspace}
\newcommand{\ratevector}{\ensuremath{\vec r}}
\newcommand{\statevector}{\ensuremath{\vec x}}
\newcommand{\flowvector}{\ensuremath{\vec f}}
% Original template has no field for new command so I include them here
%% comment macros
\newcommand{\ben}[1]{{\color{brown} BB: #1}}
\newcommand{\benhide}[1]{{\color{lightgray}$\langle$BB: #1$\rangle$}}
\newcommand{\df}[1]{{\color{orange} DF: #1}}
\newcommand{\dfhide}[1]{{\color{lightgray}$\langle$DF: #1$\rangle$}}
\newcommand{\jd}[1]{{\color{blue} JD: #1}}
\newcommand{\mli}[1]{{\color{purple} ML: #1}}
\newcommand{\steve}[1]{{\color{red} SW: #1}}
\newcommand{\david}[1]{{\color{cyan} $\langle$DJDE: #1$\rangle$}}
\newcommand{\thickredline}{{\color{red}\bigskip\begin{center}\linethickness{2mm}\line(1,0){250}\end{center}\bigskip}}
%% base R colours:
%% red, green, blue, cyan, magenta, yellow, black, gray, white, darkgray, lightgray, brown, lime, olive, orange, pink, purple, teal, violet
\newcommand{\N}{\mathbb{N}}% Natural numbers
\newcommand{\Nset}[1]{\mathbb{N}_{#1}}% Natural numbers up to n
\newcommand{\R}{\mathbb{R}}% Real numbers
\newcommand{\Rnn}{\mathbb{R}_{\ge 0}}% non-negative real numbers
\newcommand{\abs}[1]{\lvert #1 \rvert}% cardinality
\newcommand{\flowfunc}[1]{\mathfrak{F}(#1)}% Flow functions
\newcommand{\flowfuncnull}{\mathfrak{F}}
\newcommand{\pardim}[1]{\mathfrak{p}(#1)}% parameter dimension
\newcommand{\stadim}[1]{\mathfrak{s}(#1)}% state dimension
\newcommand{\betavec}{\vec{\beta}}
\newcommand{\fr}{\ensuremath{\mathcal F}}
\newcommand{\tauf}{\tau^{\mbox{\tiny from}}}
\newcommand{\taua}{\tau^{\mbox{\tiny arg}}}
\newcommand{\define}[1]{\emph{{#1}}}
\newcommand{\vv}{{\emph{vice versa}\xspace}}
\newcommand{\xvec}{\vec{x}}
\newcommand{\fvec}{\vec{f}}
\newcommand{\rvec}{\vec{r}}
%%DE: for referencing macros in comments:
\newcommand\ttbackslash{{\tt\char`\\}}
\newcommand{\macro}[1]{{\tt\ttbackslash#1}}
\raggedbottom
%%\unnumbered% uncomment this for unnumbered level heads
\begin{document}
\title[Modular compartmental models]{Modular construction of compartmental epidemic models}
\author[1]{\fnm{Darren} \sur{Flynn-Primrose}}
\author[1]{\fnm{Steve} \sur{Walker}}
\author[1,2]{\fnm{Michael} \sur{Li}}
\author*[1,3] {\fnm{Benjamin M.} \sur{Bolker}}\email{[email protected]}
\author[1] {\fnm{David J.\,D.} \sur{Earn}}
\author*[1,3] {\fnm{Jonathan} \sur{Dushoff}}\email{[email protected]}
\affil*[1]{\orgdiv{Department of Mathematics \& Statistics}, \orgname{McMaster University}, \orgaddress{\street{1280 Main Street West}, \city{Hamilton}, \state{Ontario}, \postcode{L8S 4K1}, \country{Canada}}}
\affil[2]{\orgdiv{Public Health Risk Science Division, National Microbiology Laboratory}, \orgname{Public Health Agency of Canada}, \orgaddress{\street{370 Speedvale Avenue West}, \city{Guelph}, \state{Ontario}, \postcode{N1H 7M7}, \country{Canada}}}
\affil[3]{\orgdiv{Department of Biology}, \orgname{McMaster University}, \orgaddress{\street{1280 Main Street West}, \city{Hamilton}, \state{Ontario}, \postcode{L8S 4L8}, \country{Canada}}}
\keywords{epidemiology, transmission dynamics, compartmental model, graph theory, Cartesian product}
%%\pacs[JEL Classification]{D8, H51}
\pacs[MSC Classification]{92D30, 92-10, 05C76}
\maketitle
\linenumbers
\include{abstract.tex}
\include{body.tex}
\section{Acknowledgements}
This project was supported by the Canadian Network for Modelling Infectious Diseases (\href{https://canmod.net/}{CANMOD}), which is funded through the Emerging Infectious Disease Modelling programme of the Natural Sciences and Engineering Research Council of Canada (NSERC).
\section{Declarations}
The authors declare that they have no competing interests.
\bibliography{biblio_redux}
\end{document}