THE DYNAMICS OF AN IMPULSIVELY CONTROLLED TWO-PREY ONE-PREDATOR FOOD WEB MODEL

摘要

A two-prey one-predator food web model with an abstract functional response of the predator is considered as being subject to impulsive controls, in the form of periodic predator release and pesticide spraying. Sufficient conditions for the local and global stability of the prey-free periodic solution are established by using Floquet theory and comparison arguments in terms of integral estimates with biological significance, the permanence of the system being also discussed.