Conversion from Fixed Periodic Impulsive Differential Equations to State-Dependent Impulsive Equations And Applications

This paper transforms a kind of periodic impulsive differential equations to state-dependent impulsive equations. By using some theorems, which have been established for the periodic solutions and their stabilities of state-dependent impulsive equations, we easily understand these periodic solutions' existence and their stability. Specially, we discuss a population exploitative model with constant periodic harvest and two medicamental dynamics' models