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Three-species food-chain models with mutual interference and time delays. (English) Zbl 0592.92024
Summary: Models of three-species food chains incorporating mutual interference among predators and time delays due to gestation are proposed. We consider the case that for such models an interior equilibrium exists. In the case that the equilibrium is stable with no delays, the length of delay is estimated for which stability continues to hold. Further, conditions are derived under which there can be no change of stability.

MSC:
92D40 Ecology
34D99 Stability theory for ordinary differential equations
34B15 Nonlinear boundary value problems for ordinary differential equations
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