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.


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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