Stability Analysis of a Class of Nonlinear Impulsive Systems
Abstract：A kind of third-order predator-prey system with impulsive effect and functional response concerning integrated pest management (IPM) strategy is studied. By using the Floquet theory and com- parison theorem of impulsive differential equation, it is proven that there exists a globally asymptotically stable pest-eradication periodic solution when the impulsive period is less than some critical value. Fur- ther, the ultimate boundedness of all the solutions in the system is explained.
Keywords：predator-prey systemfunctional responseimpulsive differential equationcontrol stability
Publication Date：2012-01-01
Online Publishing Date：2025-08-15(First online date of this platform, not the publication date of the document)
Pages：5( 38-42 )