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Modelling environmental influences on wanderer spiders in the Langhe region (Piemonte-NW Italy). (English) Zbl 1166.92037
Summary: 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.
MSC:
92D40Ecology
60H10Stochastic ordinary differential equations
92D50Animal behavior