Flow diagram Latex Code

Question

Can someone please help with a code that will draw this flow chart diagram in Latex.The image is given the picture below.

Answer 1

While a code showing what has been tried should be posted with such questions, I wanted to play around a bit with the automata library. Here is a solution

\documentclass{standalone}
\usepackage{tikz}
    \usetikzlibrary{arrows.meta}
    \usetikzlibrary{positioning}
    \usetikzlibrary{automata}
\begin{document}
\begin{tikzpicture}[node distance = 1cm and 2cm, > = Stealth, accepting/.style = accepting by arrow]
\node[%
    state, rectangle, fill = red,%
    accepting, accepting text = {$(\mu + \omega_1)\mathrm{A}$}] (A) {A};
\node[%
    state, rectangle, fill = blue!40!white, above right = of A,%
    initial above, initial text = {$(1 - p)\mu v$},%
    accepting, accepting text = {$\mu\mathrm{E}$}] (E) {E};
\node[%
    state, rectangle, fill = green, below right = of A,%
    accepting, accepting text = {$\mu\mathrm{Q}$}] (Q) {Q};
\node[%
    state, rectangle, fill = yellow, below left = of A,
    accepting left, accepting text = {$(\mu + \omega_2)\mathrm{R}$}] (R) {R};
\node[%
    state, rectangle, fill = green!30!white, above left = of A,%
    initial above, initial text = {$p\mu v$},%
    accepting left, accepting text = {$\mu\mathrm{S}$}] (S) {S};

\path[->] (A) edge[bend right]  node[above left]            {$\pi\mathrm{A}$}              (R)
          (E) edge              node[above left]            {$\varepsilon\eta\mathrm{EA}$} (A)
          (E) edge              node[right]                 {$\lambda\mathrm{E}$}          (Q)
          (R) edge[bend right]  node[near end, below right] {$\rho\mathrm{R}$}             (A)
          (R) edge              node[below]                 {$\theta\mathrm{R}$}           (Q)
          (S) edge              node[above right]           {$\varepsilon\mathrm{SA}$}     (A)
          (S) edge              node[above]                 {$\gamma\mathrm{S}$}           (E);


\end{tikzpicture}
\end{document}

resulting in