Year 2021

• Bistability in a One-Dimensional Model of a TwoPredators-One-Prey Population Dynamics System

  Publication

  • S. Kryzhevich
  • V. Avrutin
  • G. Söderbacka

  - Lobachevskii Journal of Mathematics - Year 2021

• Bistability in a One-Dimensional Model of a Two-Predators-One-Prey Population Dynamics System

  Publication

  • S. Kryzhevich
  • V. Avrutin
  • G. Sӧderbacka

  - Lobachevskii Journal of Mathematics - Year 2021

  In this paper, we study a classical two-predators-one-prey model. The classical model described by a system of three ordinary differential equations can be reduced to a one-dimensional bimodalmap. We prove that this map has at most two stable periodic orbits. Besides, we describe the bifurcation structure of the map. Finally, we describe a mechanism that leads to bistable regimes. Taking this mechanism into account, one can easily...

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Year 2020

• Weak Solutions within the Gradient-Incomplete Strain-Gradient Elasticity

  Publication

  • V. Eremeev
  • F. dell'Isola

  - Lobachevskii Journal of Mathematics - Year 2020

  In this paper we consider existence and uniqueness of the three-dimensional static boundary-value problems in the framework of so-called gradient-incomplete strain-gradient elasticity. We call the strain-gradient elasticity model gradient-incomplete such model where the considered strain energy density depends on displacements and only on some specific partial derivatives of displacements of first- and second-order. Such models...

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