Dynamics of a modified Leslie–Gower predator–prey model with Holling-type II schemes and a prey refuge

We propose a modified Leslie–Gower predator–prey model with Holling-type II schemes and a prey refuge. The structure of equilibria and their linearized stability is investigated. By using the iterative technique and further precise analysis, sufficient conditions on the global attractivity of a posi...

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Detalles Bibliográficos
Autor principal: Yue, Qin
Formato: Online Artículo Texto
Lenguaje:English
Publicado: Springer International Publishing 2016
Materias:
Research
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC4831961/
https://www.ncbi.nlm.nih.gov/pubmed/27119065
http://dx.doi.org/10.1186/s40064-016-2087-7
Descripción
Sumario:We propose a modified Leslie–Gower predator–prey model with Holling-type II schemes and a prey refuge. The structure of equilibria and their linearized stability is investigated. By using the iterative technique and further precise analysis, sufficient conditions on the global attractivity of a positive equilibrium are obtained. Our results not only supplement but also improve some existing ones. Numerical simulations show the feasibility of our results.

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