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We investigate the model with the Gauss-Bonnet term in general background. We present the Einstein and field equations in the form of a dynamical system.We consider deSittersolutionsandintroducetheeffectivepotentialwhichdeterminesthestabilityof de Sitter solutions. We illustrate our investigations by several examples including models with exponential potential, with the Higgs potential, with a massive scalar field and model with the Gauss-Bonnet interaction playing a role of the effective potential. The report is based on the paper by E.O. Pozdeeva, M. Sami, A.V. Toporensky, S.Yu. Vernov, arXiv:1905.05085.