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Analysis of a predator-prey model with modified Holling-Tanner functional response and time delay. (English) Zbl 1142.34053
Summary: A predator-prey model with modified Holling-Tanner functional response and time delay is discussed. It is proved that the system is permanent under some appropriate conditions. The local stability of the equilibria is investigated. By constructing a suitable Lyapunov functional, sufficient conditions are derived for the global stability of the positive equilibrium of the model.

MSC:
34K60 Qualitative investigation and simulation of models involving functional-differential equations
34K20 Stability theory of functional-differential equations
92D25 Population dynamics (general)
34K25 Asymptotic theory of functional-differential equations
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