[Spatial model of development of resistance to transgenic insecticidal crop in a pest as applied to the European corn borer].

A mathematical model of the development of resistance to transgenic Bt-crop in insect-pest populations as applied to the European corn borer has been constructed. The model represents a system of differential equations in special derivatives of the reaction-diffusion type. Local interactions of three competing pest genotypes formed by the allele of Bt-resistance and allele of susceptibility, are described by the same relations as in the Kostitsyn model, and the spread of insects is modelled as diffusion. The model was used to estimate the influence of the pest on the efficiency of the "high dose-refuge" strategy, which is intended for the suppression of development of Bt-resistance in pest populations. It was shown that formal integration of the Fisher-Haldane-Wright model and the diffusion term cannot adequately describe the development of Bt-resistance in a spatially heterogeneous pest population. A further development of the model is discussed.