You probably need to get familiar with float, a package for custom floats, define your own float as model, define a label for it, e.g. Model and get access to a list of your folats
See the example

The following redefines equation numbers to include sections
\numberwithin{equation}{section}
which I haven't included in the code but should be placed in your preamble.
\documentclass{report}
\usepackage{etoolbox}
\usepackage{amsmath,lipsum}
\usepackage[colorlinks]{hyperref}
\usepackage{cleveref}
% \pretocmd{@startsection}{\protect\setcounter{modelc}{0}}{}{}
\newcounter{modelc}
\numberwithin{equation}{chapter}
\numberwithin{modelc}{chapter}
\crefname{modelc}{model}{models}
\Crefname{modelc}{Model}{Models}
% \crefformat{modelc}{model~#2(#1)#3} % Custom formatting -> model (C.M)
% \Crefformat{modelc}{Model~#2(#1)#3} % -> Model (C.M)
\NewDocumentEnvironment{model}{O{} m +b}{%
% #1 - label (optional)
% #2 - caption
\refstepcounter{modelc} \notblank{#1}{\label{#1}}{}
#3
%%% Increase a counter and set the label if provided
%%% Formatting a caption
\settowidth{\dimen0}{Model \themodelc}%
\settowidth{\dimen1}{#2}%
\ifdim \dimen1 > \dimexpr(\textwidth - \dimen0 - 1em)
\dimen1=\dimexpr(\textwidth - \dimen0 - 1em)\fi
\begingroup
\centering
\parbox[t]{\dimexpr(\dimen0 + 1em)}{Model \themodelc: }%
\parbox[t]{\dimexpr(\dimen1)}{#2}%
\vspace{\baselineskip}
\par
\endgroup
}{}
\makeatother
\begin{document}
\chapter{The first chapter}
\lipsum[1][1-2]
\section{This is a section}
\lipsum[1][1]
\chapter{The second chapter} \label{chap:second}
\section{This is a section with a model}
\lipsum[1][2]
\begin{model}[mod:beq]{A very very long description of a extremely beautiful equation spanning multiple lines}
\begin{align} % Only caption
f(x) &= ax^2 + bx + c \label{eq:eq1} \
&= g(x) \label{eq:eq2}
\end{align}
\end{model}
\lipsum[1][3-5]
\chapter{The final chapter}
\lipsum[1][3-5]
\chapter{This is a star variant section}
\lipsum[1][6]
\section{This is a section with another model}
\lipsum[1][5]
\begin{model}{A beautiful equation} % Caption + label
\begin{align}
f(\mathbf{x}) &= x_1 - x_2
\end{align}
\end{model}
Reference to \Cref{mod:beq} on \cpageref{mod:beq} in \cref{chap:second}.
\end{document}
\numberwithin{equationset}{section}. – mickep Jul 05 '22 at 15:08\documentclassand\begin{document}but after\usepackage{amsmath}– Celdor Jul 05 '22 at 15:44