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

We consider the disturbance-controlled persistence of monocarpic perennial plant population with a transition matrix modeling and discuss the contribution of perennation to the population persistence under the ecological disturbance that periodically occurs. The considered population is fundamentally subordinate in terms of the persistence at the habitat. Our mathematical results indicate that the ecological disturbance with an appropriate period assures the persistence of such subordinate species of plant. Further, we demonstrate that, under some ecological disturbances that periodically occur, 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.