Transition matrix model for the persistence of monocarpic plant population under periodically occurred ecological disturbance

We consider the disturbance-controlled persistence of perennial plant population with a transition matrix modelling, and discuss the contribution of perennation to the population persistence under the periodically occurred ecological disturbance. Our mathematical results indicates that the ecological disturbance with an appropriate period assures the persistence of a subordinate species of plant. Further, we demonstrate that, under some periodically occurred ecological disturbance, the perennation could work better for the population persistence. In some cases, the perennial population could be persistent, while the annual becomes extinct in the environment with the ecological disturbance.