| Article ID | Journal | Published Year | Pages | File Type |
|---|---|---|---|---|
| 4630375 | Applied Mathematics and Computation | 2011 | 13 Pages |
Abstract
The stability of a diffusive predator–prey model with modified Leslie–Gower and Holling-type III schemes is investigated. A threshold property of the local stability is obtained for a boundary steady state, and sufficient conditions of local stability and un-stability for the positive steady state are also obtained. Furthermore, the global asymptotic stability of these two steady states are discussed. Our results reveal the dynamics of this model system.
Related Topics
Physical Sciences and Engineering
Mathematics
Applied Mathematics
Authors
Yanling Tian, Peixuan Weng,