Behavior of Trajectories of Systems with NonnegativeVariables
2020
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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