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Boundedness and global stability for a predator-prey model with modified Leslie-Gower and Holling-type II schemes. (English) Zbl 1063.34044
The authors present a two-dimensional differential system modeling a predator-prey food chain, and based on a modified version of the Leslie-Gower scheme and on the Holling-type II scheme. The main result is given in terms of boundedness of solutions, existence of an attracting set and global stability of the coexisting interior equilibrium.

MSC:
34D23 Global stability of solutions to ordinary differential equations
92D25 Population dynamics (general)
34C11 Growth and boundedness of solutions to ordinary differential equations
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