Conference publications


XV conference

Dynamics of Bt-plants under Bt-resistent moth invasion. Mathematical modeling.

Gonik M.M., Medvinsky A.B., Tyutyunov Y.V.1, Li B.-L.2, Rusakov A.V., Malchow H.3

Institute for Theoretical & Experimental Biophysics, Russia, 142290, Pushchino, Moscow Region, Institutskaya 3, tel.:(4967)739157, E-mail:,

1Vorovich Research Institute of Mechanics and Applied Mathematics, Rostov State University, Russia, 344090, Rostov on Don

2University of California, USA, 92521, Riverside

3Institute of Environmental Systems Research, University of Osnabrueck, Germany, 49069, Osnabrueck

1 pp.

We investigate the model of the four-component agro-ecosystem including: genetically modified Bt-crops which produce insecticidal Bt-toxin; insect populations which possess Bt-susceptible features, Bt-resistant features and both of them simultaneously. It’s supposed that insect populations are moth whose larvae eat plants. The model is a modification of our previous agro-ecosystem model [1]. Bt-plants and Bt-susceptible insect biomass distributions are supposed to be homogeneous. A localized invasion of the insects with intermediate features possessing both Bt-susceptible and Bt-resistant features is considered. It’s shown that an integral characteristic of the Bt-plant biomass (Bt-plant biomass averaged in space at the end of the vegetation season) nonlinearly depends on the level of the Bt-plant germination. Namely, Bt-plant biomass averaged in space at the end of the vegetation season reaches its minimal values not only in case of a low Bt-plant germination level, but also at a high level of Bt-plant germination. Whereas a middle level of Bt-plant germination leads to a considerable increase of Bt-plant biomass averaged in space at the end of the vegetation season.

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