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Stability of a three-species symbiosis model with delays. (English) Zbl 1242.92059

Summary: A three-species symbiosis Lotka-Volterra model with discrete delays is considered. The local stability of the positive equilibrium is investigated through constructing a proper Lyapunov function. A detailed and explicit procedure for obtaining sufficient conditions for local stability of the positive equilibrium of the system along with an estimated size of the allowable delays is provided.

MSC:

92D40 Ecology
34K60 Qualitative investigation and simulation of models involving functional-differential equations
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