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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
*
ezio.venturino@unito.it
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Abstract

We consider an ecosystem in whichspiders may be transported by the wind from vineyards into thesurrounding woods and vice versa. The model takes into accountthis tranport phenomenon without building space explicitly intothe governing equations. The equilibria of the dynamical systemare analyzed together with their stability, showing thatbifurcations may occur. Then the effects of indiscriminatedspraying to keep pests under control is also investigated viasuitable 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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