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The effects of delay and impulsive drug therapy in an HIV model with CTLs immune response
Lin Hu,Linfei Nie
Keywords:HIV model with CTLs immune response, Intercellular delay, Impulsive drug therapy, Global stability, Uniform persistence
      Consider the effects of immune response and drug therapy on HIV treatment, a HIV mathematical control model with CTLs immune response is therefore proposed, where the delay of virus invasion and impulsive drug therapy are introduced. By utilizing the comparison theorem, differential inequality theories and analytic method, the threshold values for the existence and global stability of the virus-free periodic solution, and the uniform persistence of disease without CTLs immune response are studied. Numerical simulations are performed to illustrate the main theoretical results and the feasibility of drug therapy. Our results suggest that the periodic and dosed of drug therapy are sufficient conditions for the eradication of the disease.