Stability Analysis of Diffusive Predator-Prey Model with Modified Leslie-Gower and Holling-Type II Schemes |
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Authors: | Yanling Tian Peixuan Weng |
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Institution: | 1.School of Mathematics,South China Normal University,Guangzhou,P.R. China |
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Abstract: | The stability of a diffusive predator-prey model with modified Leslie-Gower and Holling-type II 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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