The longtime behaviour of a nonautonomous bidimensional Hassell predator-prey model with mutual interference is investigated. The existence of an absorbing set in the phase space is shown, and necessary and sufficient conditions guaranteeing the nonlinear, global, asymptotic stability of the positive solutions have been found by using the Liapunov direct method.
On the long-time dynamics of nonautonomous predator-prey models with mutual interference / DE LUCA, Roberta. - In: RICERCHE DI MATEMATICA. - ISSN 0035-5038. - STAMPA. - 61:2(2012), pp. 275-290. [10.1007/s11587-012-0129-1]
On the long-time dynamics of nonautonomous predator-prey models with mutual interference
DE LUCA, ROBERTA
2012
Abstract
The longtime behaviour of a nonautonomous bidimensional Hassell predator-prey model with mutual interference is investigated. The existence of an absorbing set in the phase space is shown, and necessary and sufficient conditions guaranteeing the nonlinear, global, asymptotic stability of the positive solutions have been found by using the Liapunov direct method.File in questo prodotto:
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