Journal
APPLIED MATHEMATICS AND COMPUTATION
Volume 218, Issue 7, Pages 3733-3745Publisher
ELSEVIER SCIENCE INC
DOI: 10.1016/j.amc.2011.09.018
Keywords
Diffusive predator-prey model; Modified Leslie-Gower and Holling-type II schemes; Comparison method; Persistence; Stability
Categories
Funding
- Natural Science Foundation of China [11171120]
- Research Fund for the Doctoral Program of Higher Education of China [20094407110001]
- Natural Science Foundation of Guangdong Province [10151063101000003]
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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. (C) 2011 Elsevier Inc. All rights reserved.
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