Dynamics of an impulsive model of plankton allelopathy with delays

In this paper, we consider an impulsive model of plankton allelopathy with delays. By applying the comparison theorem and constructing some suitable Lyapunov functional, we discuss the permanence and global attractivity of the system. Our result generalizes the corresponding one of Abbas et al. (Nonlinear Dyn 67: 203–214, 2012). We also obtain sufficient conditions ensuring the existence of a unique strictly positive almost periodic solution based on almost periodic functional hull theory of the impulsive differential equations. For the system without delays, our results weaken those of He et al. (Nonlinear Anal 11: 2296–2301, 2010).