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Behavior of Trajectories of Systems with Nonnegative Variables

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Abstract

For two classes of two-dimensional systems and for a fourth-order system describing the development of pancreatic cancer, we use the method of localization of compact invariant sets to establish estimates for their compact invariant sets and indicate conditions for the existence of attractors. A condition for the degeneration of dynamics is found for the four-dimensional system. Examples and results of numerical modeling are given.

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Funding

This work was supported by the Russian Foundation for Basic Research, project no. 20-7-00296, and by the Ministry for Science and Higher Education of the Russian Federation, project no. 0705-2020-0047.

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Correspondence to A. P. Krishchenko or E. S. Tverskaya.

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Translated by V. Potapchouck

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Krishchenko, A.P., Tverskaya, E.S. Behavior of Trajectories of Systems with Nonnegative Variables. Diff Equat 56, 1408–1415 (2020). https://doi.org/10.1134/S00122661200110038

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  • DOI: https://doi.org/10.1134/S00122661200110038

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