A Mathematical Model for Phage Therapy with Impulsive Phage Dose Model for Phage Therapy

摘要

An impulsively perturbed differential equation model for phage therapy has been proposed and investigated. A constant phage dose which accounts for impulse, is assumed to be given to the species (that can be a human, animal or crop) suffering from bacterial infection at specific interval of time. The linear stability analysis of resulting impulsive differential equation model have been carried out and critical values of phage dose (pc) and time interval of dose (Tc) have been obtained for which the disease free equilibrium state is stable. The analysis therefore lead to two important conditions viz. p>pc and T