PULSE INFECTION: CONTROL FIXING TIME BETWEEN INFECTION EVENTS

We assumed a population affected by a disease, whose infection process is associated to a sequence of social punctual events. The event is a kind of cultural activity or an economic necessity that happens with some frequency. We formulate a generalist mathematical model for determining, with analytic techniques of the Impulsive Differential Equations, the dynamic behavior of the infectious group. We introduce diverse conditions on the frequency of the infection events with the intention of to put control tools in hands of the regulatory authority, for a better sanitary management. The idea is to avoid a spread of the disease, trying to keep the amount of infectious under predetermined levels or going towards extinction.