TY - JOUR AU - Yao, Zhijian PY - 2014 DA - 2014/08/04 TI - Existence and exponential stability of the unique positive almost periodic solution for the Lasota-Wazewska difference model JO - Advances in Difference Equations SP - 206 VL - 2014 IS - 1 AB - In this paper, a discrete Lasota-Wazewska model is studied. By using the fixed point theorem of decreasing operator, we obtain sufficient conditions for the existence of a unique positive almost periodic solution. Particularly, we give iterative sequence which converges to the positive almost periodic solution. Moreover, we investigate exponential stability of the positive almost periodic solution by the Lyapunov functional. SN - 1687-1847 UR - https://doi.org/10.1186/1687-1847-2014-206 DO - 10.1186/1687-1847-2014-206 ID - Yao2014 ER -