I am new to Tikz and drawing things with LaTex, so I have a question. This is the code for my tikz drawing
\begin{tikzpicture}[shorten >=1pt,node distance=2cm,on grid,auto]
\node[state] (q_0) {$0$};
\node[state] (q_1) [right=of q_0] {$1$};
\node[state] (q_2) [right=of q_1] {$2$};
\node[rectangle] (q_dots) [right=of q_2] {$\cdots$};
\node[state] (q_3) [right=of q_dots] {{\footnotesize $j-1$}};
\node[state] (q_4) [right=of q_3] {$j$};
\node (q_5) [right=of q_4] {$\cdots$};
\path[->]
(q_0) edge [bend left] node {$\lambda_0$} (q_1)
(q_1) edge [bend left] node {$\mu_1$} (q_0)
(q_1) edge [bend left] node {$\lambda_1$} (q_2)
(q_2) edge [bend left] node {$\mu_2$} (q_1)
(q_2) edge [bend left] node {$\lambda_2$} (q_dots)
(q_dots) edge [bend left] node {$\mu_3$} (q_2)
(q_dots) edge [bend left] node {$\lambda_{j-2}$} (q_3)
(q_3) edge [bend left] node {$\mu_{j-1}$} (q_dots)
(q_3) edge [bend left] node {$\lambda_{j-1}$} (q_4)
(q_4) edge [bend left] node {$\mu_j$} (q_3)
(q_4) edge [bend left] node {$\lambda_{j}$} (q_5)
(q_5) edge [bend left] node {$\mu_{j+1}$} (q_4) ;
\end{tikzpicture}
The result I am getting is fine, besides the fact that the text after the "..." is not in the middle of the arrows.
Apart from that I want to create another "invisible" state in the end of my drawing, and instead of the "..." to have a node that is not showing up, so that my arrows look like this while they are pointing to nowhere.
Thank you very much in advance for your help! :)