A predator-prey model with modified Leslie-Gower and Beddington-DeAngelis functional response is studied. The local stability of the equilibria and the permanence of the system are investigated. By applying the fluctuation lemma, qualitative analysis and Lyapunov direct method, respectively, three sufficient conditions on the global asymptotic stability of a positive equilibrium are obtained.
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Laboratoire de Mathématiques, Image et Applications, Université de la Rochelle, La RochelleLaboratoire de Mathématiques, Image et Applications, Université de la Rochelle, La Rochelle
Ali N.
Jazar M.
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LaMA-Liban, Azm Research Center, TripoliLaboratoire de Mathématiques, Image et Applications, Université de la Rochelle, La Rochelle
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Univ Autonoma Metropolitana Iztapalapa, Dept Matemat, Mexico City 09310, MexicoUniv Autonoma Metropolitana Iztapalapa, Dept Matemat, Mexico City 09310, Mexico
Alvarez-Ramirez, Martha
Garcia-Saldana, Johanna D.
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Univ Catolica Santisima Concepcion, Dept Matemat & Fis Aplicadas, Alonso Ribera 2850, Concepcion, ChileUniv Autonoma Metropolitana Iztapalapa, Dept Matemat, Mexico City 09310, Mexico
Garcia-Saldana, Johanna D.
Medina, Mario
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Univ Autonoma Metropolitana Iztapalapa, Dept Matemat, Mexico City 09310, MexicoUniv Autonoma Metropolitana Iztapalapa, Dept Matemat, Mexico City 09310, Mexico