Stability analysis of diffusive predator-prey model with modified Leslie-Gower and Holling-type III schemes |
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Authors: | Yanling Tian Peixuan Weng |
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Institution: | School of Mathematics, South China Normal University, Guangzhou 510631, PR China |
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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. |
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Keywords: | Diffusive predator-prey model Modified Leslie-Gower and Holling-type II schemes Comparison method Persistence Stability |
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