Department of Mathematics, Hubei Institute for Nationalities, Enshi, Hubei 445000, China
Copyright © 2010 Yiping Chen et al. This is an open access article distributed under the
Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
A hybrid impulsive pest control model with stage structure for pest and Holling
II functional response is proposed and investigated, in which the effects of impulsive pesticide
input in the environment and in the organism are considered. Sufficient conditions for global
attractiveness of the pest-extinction periodic solution and permanence of the system are obtained,
which show that there exists a globally asymptotically stable pest-extinction periodic
solution when the number of natural enemies released is more than some critical value, whereas
the system can be permanent when the number of natural enemies released is less than another
critical value. Furthermore, numerical simulations are carried out to illustrate our theoretical
results and facilitate their interpretation.