impulsive integro-differential system, delay, quasilinearization, uniform convergence, quadratic convergence, Biotechnology, TP248.13-248.65, Mathematics, QA1-939

In this paper, we obtain solution sequences converging uniformly and quadratically to extremal solutions of an impulsive integro-differential system with delay. The main tools are the method of quasilinearization and the monotone iterative. The results obtained are more general and applicable than previous studies, especially the quadratic convergence of the solution for a class of integro-differential equations, which have been involved little by now.