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Advisor(s)
Abstract(s)
The olive tree (Olea europaea L.) is among the oldest and most
widespread crops in the Mediterranean basin, [2]. Portugal is one important
olive producer country in particular in the Tr´as-os-Montes region,
in the northeastern Portugal.
The olive moth, Prays oleae (Bernard) (Lepidoptera: Praydidae) is the
most damaging pest in this region, [1]. Larvae of several generalist and
specialist parasitoids attack the olive moth. The most abundant specialist
parasitoid is Ageniaspis fuscicollis (Dalman) (Hymenoptera: Encyrtidae),
[3]. In Tr´as-os-Montes region, the second most abundant parasitoid
was Elasmus flabellatus (Fonscolombe) (Hymenoptera: Eulophidae)
that behaves as a facultative hyperparasitoid, parasitizing some larvae of
hymenopteran and larvae and pupae of lepidopteran species, [5].
Spiders are generalist predators with important predatory action in agroecosystems
and ability to reduce the populations of various insect pests, [4].We construct a mathematical model considering the population of the
olive moth M, juvenile (larvae) Pi and adult populations Ai of the two parasitoids,
i = 1, 2 and the spiders population S as the variables in our system.
We assess the ecosystem steady states for feasibility and stability. In addition,
we include also the possible pesticide effects, that represent essentially
extra mortality rates for each one of the insect populations.
Description
Keywords
Dynamical systems Populations Predator-prey Moth Parasitoids Spiders
Pedagogical Context
Citation
Villa, Maria; Santos, Sónia A.P.; Benhadi-Marín, Jacinto; Pereira, J.A.; Venturino, Ezio (2017). A model for the biological control of an olive tree (Olea europaea L.) pest. In The Cape Verde International Days on Mathemathics. Cabo Verde