Conference Paper

Existence and Stability of Periodic Solution for Periodic Logistic System with Periodic Impulsive Perturbations

Coll. of Comput. Sci. & Technol., Guizhou Univ., Guiyang
DOI: 10.1109/ICNC.2008.500 In proceeding of: Natural Computation, 2008. ICNC '08. Fourth International Conference on, Volume: 1
Source: IEEE Xplore

ABSTRACT This paper studies the existence and stability of periodic PC-mild solution for the omega-periodic logistic system with T0 -periodic impulsive perturbations on Banach spaces. One sufficient condition with gamma = omega/T0 is rational that guarantees the exponential stability of the impulsive evolution operator which is given. It is shown that the system has a unique periodic PC-mild solution which is globally asymptotically stable when omega and T0 are rational dependent and its period must be nT0 for some n isin N. At last, a numerical example is given for demonstration.