begin{center}
    begin{tikzpicture}
    node[state] (1) {$u_{p-1}$};
    node[draw=red,fill=red,state,right=of 1] (2) {$u_p$};
    node[state,right=of 2]                    (3) {$u_{p+1}$};
    node[draw=none,right=of 3]           (4) {...};
    node[draw=blue, state, right=of 4]            (5) {$mathbb{E}_1$};


        draw[
        >=latex,
    %   every node/.style={above,midway},% either
        auto=right,                      % or
        loop above/.style={out=75,in=105,loop},
        every loop,
        ]
        (2)   edge[loop above] node {$1-beta_1,abs{mathbb{E}_1- u_p}$}   (2)
     edge                 node{$beta_1,abs{mathbb{E}_1-u_p}$}(3)
     edge             node {$0$} (1);
end{tikzpicture}
end{center}