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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.

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