Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
840701 | Nonlinear Analysis: Theory, Methods & Applications | 2011 | 16 Pages |
Abstract
We investigate the dynamics of a class of multi-species predator–prey interaction models with Holling type III functional responses based on systems of nonautonomous differential equations with impulsive perturbations. Sufficient conditions for existence of a positive periodic solution are investigated by using a continuation theorem in coincidence degree theory, which have been extensively applied in studying existence problems in differential equations and difference equations. In addition, sufficient criteria are established for the global stability and the globally exponential stability of the system by using the comparison principle and the Lyapunov method.
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Authors
Xiaoming Fan, Fuquan Jiang, Huina Zhang,