Academic Editor: Harvinder S. Sidhu
Copyright © 2010 G. P. Samanta. 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 two-species nonautonomous Lotka-Volterra type model with diffusional migration among the immature predator population, constant delay among the matured predators, and toxicant effect on the immature predators in a nonprotective patch is proposed. The scale of the protective zone among the immature predator population can be regulated through diffusive coefficients , . It is proved that this system is uniformly persistent (permanence) under appropriate
conditions. Sufficient conditions are derived to confirm that if this system admits a
positive periodic solution, then it is globally asymptotically stable.