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Because of abrupt jumps at certain instants during the evolving processes, lots of systems in physics.chemistry, ecology and information technology have impulsive dynamical behavior.This complex dynamical behavior can be modeled by impulsive differential equations.The theory of impulsive differential equations had been developed by mathematicians in the early period.In the latest years, most of the research on impulsive differential equations concerns systems with impulses at fixed times[1].Due to the application of impulsive differential equations to ecology, systems with impulses at fixed times are used to establish practical problems in most cases.