Abstract

In this paper, an impulsive persuasion strategy to eradicate HIV/AIDS is studied. Since infection age is an important factor of HIV progression, we incorporate the infection age into the model. Using integral equation theory and operator semi group theory, we analyze the dynamical behaviors of this model and point out that there exists an infection-free periodic solution which is globally asymptotically stable if . This condition depends on impulsive persuasion proportion  and inter impulsive time .

Key words: Human immunodeficiency virus/acquired immunodeficiency syndrome model, persuasion rate, global attractor.