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Zbl 1063.34044
Aziz-Alaoui, M.A.; Daher Okiye, M.
Boundedness and global stability for a predator-prey model with modified Leslie-Gower and Holling-type II schemes. (English)
[J] Appl. Math. Lett. 16, No. 7, 1069-1075 (2003). ISSN 0893-9659

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.
[Chen Lan Sun (Beijing)]

MSC 2000:: *34D23 Global stability
92D25 Population dynamics
34C11 Qualitative theory of solutions of ODE: Growth, etc.

Keywords: positive periodic solution; food chain system; diffusion; coincidence degree theory

Cited in: Zbl 1248.34050 Zbl 1156.34342

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