Global behaviors of a periodic budworm population model with impulsive perturbations

In this paper, a periodic budworm population model with impulsive perturbations is investigated. The impulse is realized at fixed moments of time. A good understanding of the existence and global asymptotic stability of positive periodic solutions is gained. It turns out that the impulsive perturbations play an important role and have effects on the above dynamics of the system. Numerical simulations are presented to verify the validity of the proposed criteria. Copyright © 2010 John Wiley & Sons, Ltd.