Global behavior of a generalized periodic impulsive logistic system with nonlinear density dependence (Q706806)

The authors obtain results for existence and global attractivity of positive periodic solutions of the following impulsive differential system \[ \dot{y}(t) = y(t)(r(t) - \sum_{i=1}^n a_i(t) y^{\alpha_i}(t)), \quad t \neq t_k, \;k \in \mathbb{N},\qquad\Delta y(t_k) = b_k y(t_k), \quad k \in \mathbb{N}. \]