We develop a mathematical model for understanding the effect of wanderer spiders as biological controllers of the insects infesting vineyards, thus accounting also for the role played by residual wood and green patches as spiders habitat in the otherwise homogeneuous landscape of the Langhe region. We then extend the deterministic model allowing random fluctuations around the coexistence equilibrium. The stochastic stability properties of the model are investigated both analytically and numerically.
Modelling environmental influences on wanderer spidersin the Langhe region (Piemonte -- NW Italy)
CHATTERJEE, SAMRAT;ISAIA, MARCO;BONA, Francesca;BADINO, Guido;VENTURINO, Ezio
2008-01-01
Abstract
We develop a mathematical model for understanding the effect of wanderer spiders as biological controllers of the insects infesting vineyards, thus accounting also for the role played by residual wood and green patches as spiders habitat in the otherwise homogeneuous landscape of the Langhe region. We then extend the deterministic model allowing random fluctuations around the coexistence equilibrium. The stochastic stability properties of the model are investigated both analytically and numerically.
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