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Analysis of a predator-prey model with modified Leslie-Gower and Holling-type II schemes with time delay. (English) Zbl 1104.92065
Summary: A two-dimensional delayed continuous-time dynamical system modeling a predator-prey food chain, and based on a modified version of Holling type-II scheme, is investigated. By constructing a Lyapunov function, we obtain a sufficient condition for global stability of the positive equilibrium. We also present some related qualitative results for this system.

MSC:
92D40 Ecology
34D20 Stability of solutions to ordinary differential equations
34D23 Global stability of solutions to ordinary differential equations
65L99 Numerical methods for ordinary differential equations
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