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Modelling the spiders ballooning effect on the vineyard ecology

Published online by Cambridge University Press:  15 May 2008

E. Venturino ,
M. Isaia ,
F. Bona ,
E. Issoglio ,
V. Triolo  and
G. Badino
E. Venturino*
Affiliation:
Dipartimento di Biologia Animale e dell'Uomo, via Accademia Albertina 13
M. Isaia
Affiliation:
Dipartimento di Matematica, via Carlo Alberto 10 Universita' di Torino, 10123 Torino, Italia
F. Bona
Affiliation:
Dipartimento di Matematica, via Carlo Alberto 10 Universita' di Torino, 10123 Torino, Italia
E. Issoglio
Affiliation:
Dipartimento di Biologia Animale e dell'Uomo, via Accademia Albertina 13
V. Triolo
Affiliation:
Dipartimento di Biologia Animale e dell'Uomo, via Accademia Albertina 13
G. Badino
Affiliation:
Dipartimento di Matematica, via Carlo Alberto 10 Universita' di Torino, 10123 Torino, Italia
*
[email protected]
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Abstract

We consider an ecosystem in which spiders may be transported by the wind from vineyards into the surrounding woods and vice versa. The model takes into account this tranport phenomenon without building space explicitly into the governing equations. The equilibria of the dynamical system are analyzed together with their stability, showing that bifurcations may occur. Then the effects of indiscriminated spraying to keep pests under control is also investigated via suitable simulations.

Keywords

predator-prey modelsspidersballooninggeneralist predatorsequilibriacoexistencestabilitybifurcationsinsecticide spraying
Type
Research Article
Information
Mathematical Modelling of Natural Phenomena , Volume 1 , Issue 1: Population dynamics , 2006 , pp. 133 - 155
Copyright
© EDP Sciences, 2006

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