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Behavior of Trajectories of Systems with Nonnegative Variables

Behavior of Trajectories of Systems with Nonnegative Variables For two classes of two-dimensional systems and for a fourth-order system describing thedevelopment of pancreatic cancer, we use the method of localization of compact invariant sets toestablish estimates for their compact invariant sets and indicate conditions for the existence ofattractors. A condition for the degeneration of dynamics is found for the four-dimensional system.Examples and results of numerical modeling are given. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Differential Equations Springer Journals

Behavior of Trajectories of Systems with Nonnegative Variables

Differential Equations , Volume 56 (11) – Dec 9, 2020

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References (11)

Publisher
Springer Journals
Copyright
Copyright © Pleiades Publishing, Ltd. 2020
ISSN
0012-2661
eISSN
1608-3083
DOI
10.1134/S00122661200110038
Publisher site
See Article on Publisher Site

Abstract

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

Journal

Differential EquationsSpringer Journals

Published: Dec 9, 2020

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