In this paper, we study the boundedness and persistence of the solutions, the global stability of the unique positive equilibrium point and the rate of convergence of a solution that converges to the equilibrium $E=(bar{x}, bar{y})$ of the system of two difference equations of exponential form: begin{equation*} x_{n+1}=dfrac{a+e^{-(bx_n+cy_n)}}{d+bx_n+cy_n}, y_{n+1}=dfrac{a+e^{-(by_n+cx_n)}}{d+...

We explore the connection between supports of equilibrium measures and quadrature identities, especially in case point sources added to external field Q(z)=|z|2p with p∈N. Along way, we describe some domains respect weighted area measure |z|2pdAz complex boundary |z|−2pdz.

In this paper, the traveling wave solution of Kerner konhauser model is obtained by phase plane analysis method, and a new suitable for stability variable transformation. The can describe predict nonlinear traffic phenomenon on Expressway from perspective system global stability. linear are respectively substitution Taylor expansion at equilibrium point. According to qualitative theory differen...