PERMANENCE AND GLOBAL STABILITY IN AN IMPULSIVE LOTKA-VOLTERRA N-SPECIES COMPETITIVE SYSTEM WITH BOTH DISCRETE DELAYS AND CONTINUOUS DELAYS

In this paper, we formulate a robust impulsive Lotka-Volterra n-species competitive system with both discrete delays and continuous delays. Our results in this paper indicate that under the appropriate linear bounded impulsive perturbations, the impulsive delay Lotka-Volterra system remains the original permanence and globally asymptotical stability of the nonimpulsive delay Lotka-Volterra system. We show that the conditions for the permanence and globally asymptotical stability of the system depend on time delays, so, we call it "profitless".