| Issue |
Math. Model. Nat. Phenom.
Volume 1, Number 1, 2006
Population dynamics
|
|
|---|---|---|
| Page(s) | 133 - 155 | |
| DOI | https://doi.org/10.1051/mmnp:2006008 | |
| Published online | 15 May 2008 | |
Modelling the spiders ballooning effect on the vineyard ecology
1
Dipartimento di Biologia Animale e dell'Uomo, via Accademia Albertina 13
2
Dipartimento di Matematica, via Carlo Alberto 10 Universita' di Torino, 10123 Torino, Italia
Corresponding author: ezio.venturino@unito.it
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.
Mathematics Subject Classification: 92D40 / 92D25
Key words: predator-prey models / spiders / ballooning / generalist predators / equilibria / coexistence / stability / bifurcations / insecticide spraying
© EDP Sciences, 2006
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