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ULTIMATE BOUNDS, EQUILIBRIUM POINTS AND BIFURCATIONS IN A THREE-DIMENSIONAL CANCER MODEL
- Authors: Krishchenko A.P1
-
Affiliations:
- Bauman Moscow State Technical University
- Issue: Vol 61, No 11 (2025)
- Pages: 1460-1473
- Section: ORDINARY DIFFERENTIAL EQUATIONS
- URL: https://journal-vniispk.ru/0374-0641/article/view/352955
- DOI: https://doi.org/10.7868/S3034503025110029
- ID: 352955
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Abstract
A nonlinear system describing the dynamics of cancer growth is investigated. For all values of the system parameters, the existence of an attractor is proved and positively invariant sets containing it are found. The estimates of ultimate bounds are calculated. All equilibrium points are found, the conditions of their existence and bifurcation are proved. In the parameter space of the system, sets are found where these conditions are fulfilled. Examples of constructing intersections of these sets with two-dimensional planes are given. Other characteristics associated with the appearance of periodic trajectories and chaotic dynamics are calculated.
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