In this paper, a new type of mathematical model to represent certain processes with impulsive dynamic behavior is introduced. The main assumption is that the next impulse time is determined by three fundamental elements: ...

This work presents a new pulse vaccination strategy for a SIS (susceptibleinfectivesusceptible) disease in an endemic context. Here, given a time of vaccination, the instant of the next one is not predetermined, but it is ...

A new epidemic model of seasonal/cyclical pulse contagions of an infectious disease is introduced: a population with a controlled infectious disease is perturbed by a sequence of pulse infectious events arising from the ...

This note gives an overview on basic mathematical models describing the population dynamics of a single species whose vital dynamics has different time scales. We present five cases combining two time-scales with Malthusian ...

A self-cycling fermenter is a batch fermenter subject to recurrent emptyings of liquid volume followed by the refillingwith new fresh substrate. This article constructs amodified model of self-cycling fermenter, which is ...