This template was originally published on ShareLaTeX and subsequently moved to Overleaf in November 2019.
%% Author_tex.tex
%% V1.0
%% 2011/14/12
%% developed by Techset
%%
%% This file describes the coding for imaiai.cls
\documentclass[numbib]{imaiai}%%%%where imaiai is the template name
%%%% To get the numbered reference the authors should use numbib as given after the \documentclass
%The authors can define any packages after the \documentclass{imaiai} command.
%\usepackage{amsmath} for dealing with mathematics,
%\usepackage{amsthm} for dealing with theorem environments,
%\usepackage{cite} for dealing with citations
%\usepackage{hyperref} for linking the cross references
%\usepackage{graphics} for dealing with figures.
%\usepackage{algorithmic} for describing algorithms
%\usepackage{subfig} for getting the subfigures e.g., "Figure 1a and 1b" etc.
%\usepackage{url} It provides better support for handling and breaking URLs.
%The author can find the documentation of the above style file and any additional
%supporting files if required from "http://www.ctan.org"
% *** Do not adjust lengths that control margins, column widths, etc. ***
\begin{document}
\title{Insert the article title here}
\shorttitle{Insert short title here for recto running head} %%%for recto running head
\shortauthorlist{Insert short author list for verso running head} %%% for verso running head
\author{{%%%% First author details
\sc Insert First author name}$^*$,\\[2pt]
Insert First author address\\
$^*${\email{Corresponding author: Insert corresponding author email here}}\\[2pt]
%%%%%%% Second author details
{\sc Insert Second author name}\\[2pt]
Insert second author address\\
{Second author email}\\[6pt]
%%%%%%%
{\sc and}\\[6pt]
%%%%%%% Third author details
{\sc Insert third author} \\[2pt]
Third author address\\
{Third author email address}}
\maketitle
\begin{abstract}
{The abstract text goes here.}
{Insert keyword text here.}
%%%% If classification number provided then
\\
2000 Math Subject Classification: 34K30, 35K57, 35Q80, 92D25
\end{abstract}
\section{Insert A head here}
This demo file is intended to serve as a ``starter file''
for IMAIAI journal papers produced under \LaTeX\ using
imaiai.cls v1.5e.
\subsection{Insert B head here}
Subsection text here.
\subsubsection{Insert C head here}
Subsubsection text here.
\section{Equations}
Sample equations.
%%% Numbered equation
\begin{align}\label{1.1}
\begin{split}
\frac{\partial u(t,x)}{\partial t} &= Au(t,x) \left(1-\frac{u(t,x)}{K}\right)-B\frac{u(t-\tau,x) w(t,x)}{1+Eu(t-\tau,x)},\\
\frac{\partial w(t,x)}{\partial t} &=\delta \frac{\partial^2w(t,x)}{\partial x^2}-Cw(t,x)+D\frac{u(t-\tau,x)w(t,x)}{1+Eu(t-\tau,x)},
\end{split}
\end{align}
\begin{align}\label{1.2}
\begin{split}
\frac{dU}{dt} &=\alpha U(t)(\gamma -U(t))-\frac{U(t-\tau)W(t)}{1+U(t-\tau)},\\
\frac{dW}{dt} &=-W(t)+\beta\frac{U(t-\tau)W(t)}{1+U(t-\tau)}.
\end{split}
\end{align}
%%%% Unnumbered equation
\[
\frac{\partial(F_1,F_2)}{\partial(c,\omega)}_{(c_0,\omega_0)} = \left|
\begin{array}{ll}
\frac{\partial F_1}{\partial c} &\frac{\partial F_1}{\partial \omega} \\\noalign{\vskip3pt}
\frac{\partial F_2}{\partial c}&\frac{\partial F_2}{\partial \omega}
\end{array}\right|_{(c_0,\omega_0)}=-4c_0q\omega_0 -4c_0\omega_0p^2 =-4c_0\omega_0(q+p^2)>0.
\]
\section{Enunciations}
%%%% Most of the enunciations like theorem, lemma, corollary, proposition, defintion,
%%%% condition, example, conjecture etc. are defined in the class file.
%%%% If the author wants to add or modify the enunciation style
%%%% they can define in the preamble as shown below.
%%%% \newtheoremstyle{theorem}{6pt}{6pt}{\rm}{}{\sffamily}{ }{ }{}
%%%% \theoremstyle{theorem}
%%%% \newtheorem{theorem}{\sc Theorem}[section]
%%%%\newtheoremstyle{corollary}{6pt}{6pt}{\rm}{}{\sffamily}{ }{ }{}
%%%%\theoremstyle{corollary}
%%%%\newtheorem{corollary}{\sc Corollary}[section]
%%%%\newtheoremstyle{definition}{6pt}{6pt}{\rm}{}{\sffamily}{ }{ }{}
%%%%\theoremstyle{definition}
%%%%\newtheorem{definition}[theorem]{\sc Definition}
%%%%
%%%%\newtheorem{exercise}[theorem]{Exercise}
\begin{theorem}\label{T0.1}
Assume that $\alpha>0, \gamma>1, \beta>\frac{\gamma+1}{\gamma-1}$.
Then there exists a small $\tau_1>0$, such that for $\tau\in
[0,\tau_1)$, if $c$ crosses $c(\tau)$ from the direction of
to a small amplitude periodic traveling wave solution of
(2.1), and the period of $(\check{u}^p(s),\check{w}^p(s))$ is
\[
\check{T}(c)=c\cdot \left[\frac{2\pi}{\omega(\tau)}+O(c-c(\tau))\right].
\]
\end{theorem}
\begin{condition}\label{C2.2}
From (0.8) and (2.10), it holds
$\frac{d\omega}{d\tau}<0,\frac{dc}{d\tau}<0$ for $\tau\in
[0,\tau_1)$. This fact yields that the system (2.1) with delay
$\tau>0$ has the periodic traveling waves for smaller wave speed $c$
than that the system (2.1) with $\tau=0$ does. That is, the
delay perturbation stimulates an early occurrence of the traveling waves.
\end{condition}
\section{Figures \& Tables}
The output for figure is:
\begin{figure}[!h]
%\centering\includegraphics[width=2.5in]{figurename.eps}
%%%call your figure name in the place "figurename.eps"
\caption{Insert figure caption here}
\label{fig_sim}
\end{figure}
An example of a double column floating figure using two subfigures.
(The subfig.sty package must be loaded for this to work.)
The subfigure \verb+\label+ commands are set within each subfloat command, the
\verb+\label+ for the overall figure must come after \verb+\caption+.
\verb+\hfil+ must be used as a separator to get equal spacing.
The subfigure.sty package works much the same way, except \verb+\subfigure+ is
used instead of \verb+\subfloat+.
%\begin{figure*}[!h]
%\centerline{\subfloat[Case I]\includegraphics[width=2.5in]{figurename.eps}%
%\label{fig_first_case}}
%\hfil
%\subfloat[Case II]{\includegraphics[width=2.5in]{figurename.eps}%
%\label{fig_second_case}}}
%\caption{Simulation results}
%\label{fig_sim}
%\end{figure*}
\vskip2pc
\noindent The output for table is:
\begin{table}[!h]
\caption{An Example of a Table}%%%Table caption goes here
\label{table_example}
\centering
\begin{tabular}{|c||c|}%%%The number of columns has to be defined here
\hline
One & Two\\ %%%% Table body
\hline
Three & Four\\%%%% Table body
\hline
\end{tabular}
\end{table}%%%End of the table
\section{Conclusion}
The conclusion text goes here.
\section*{Acknowledgment}
Insert the Acknowledgment text here.
% can use a bibliography generated by BibTeX as a .bbl file
% BibTeX documentation can be easily obtained at:
% http://www.ctan.org/tex-archive/biblio/bibtex/contrib/doc/
%\bibliographystyle{imaiai}
%\bibliography{sample}
%
% once the .bbl file has been generated then place the text in your article.
% To get the numbered reference style the author should use [numbib]
%as an option in the document class. For example: \documentclass[numbib]{imaiai}
\begin{thebibliography}{9}
\bibitem[Alexander \& Auchmuty(1988)]{AA}
{\sc Alexander, J. C. \& Auchmuty, G.} (1988) Bifurcation analysis of reaction-difusion equations VI. Multiply periodic travelling waves.
\textit{SIAM J. Math. Anal.}, \textbf{19}, 100--109.
\bibitem[Bates, Fife, Ren \& Wang(1997)]{Bates}
{\sc Bates, P. W., Fife, P. C., Ren, X. \& Wang, X.} (1997) Traveling waves in a convolution model for phase transitions.
\textit{Arch. Ration. Mech. Anal.}, \textbf{138}, 105--136.
\end{thebibliography}
\end{document}