agronomy Article Theoretical Foundation of the Control of Pollination by Hoverflies in a Greenhouse Francisco J. Fernández 1,József Garay 2,3,4, Tamás F. Móri 5, Vill˝oCsiszár 6, Zoltán Varga 7, Inmaculada López 8, Manuel Gámez 1,* and Tomás Cabello 1 1 Center for Agribusiness Biotechnology Research, Almeria University, Ctra. Sacramento s/n, ES-04120 Almeria, Spain;
[email protected] (F.J.F.);
[email protected] (T.C.) 2 Centre for Ecological Research, Evolutionary Systems Research Group, Klebelsberg Kuno utca 3, H-8237 Tihany, Hungary;
[email protected] 3 MTA-ELTE Theoretical Biology, Evolutionary Ecology Research Group, Eötvös Loránd University, Pázmány Péter Sétány1/c, H-1117 Budapest, Hungary 4 Department of Plant Systematics, Ecology and Theoretical Biology, Eötvös Loránd University, Pázmány Péter Sétány1/c, H-1117 Budapest, Hungary 5 Alfréd Rényi Institute of Mathematics, Reáltanoda u. 13-15., H-1053 Budapest, Hungary;
[email protected] 6 Department of Probability Theory and Statistics, L. Eötvös University, Pázmány Péter Sétány1/c, H-1117 Budapest, Hungary;
[email protected] 7 Department of Mathematics, Szent István University, Páter K. u. 1., H-2103 Gödöll˝o,Hungary;
[email protected] 8 Department of Mathematics, University of Almería. La Cañada de San Urbano, 04120 Almería, Spain;
[email protected] * Correspondence:
[email protected]; Tel.: +34-950-015667 Abstract: We propose a conceptual model for pollination and fertilization of tomato flowers in greenhouses crops by hoverflies, when the maximal number of adult pollinators maintained by the crops is less than what is needed for an economically successful pollination in greenhouses.