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insecticide spraying

Mathematical Modelling of Natural Phenomena (1)

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Modelling the spiders ballooning effect on the vineyard ecology
E. Venturino, M. Isaia, F. Bona, E. Issoglio, V. Triolo, G. Badino
Journal:

Mathematical Modelling of Natural Phenomena / Volume 1 / Issue 1 / 2006

Published online by Cambridge University Press:

15 May 2008, pp. 133-155

Print publication:

2006
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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.