Analysis of noise-induced phenomena in the nonlinear tumor–immune system

I. Bashkirtseva and L. Ryashko

Physica A: Statistical Mechanics and its Applications, 2020, vol. 549, issue C

Abstract: The effect of random disturbances on the corporate dynamics of immune and tumor cells is studied on the basis of the mathematical model proposed by Kuznetsov et al. This model possesses two equilibria corresponding to opposite regimes of ”tumor dormancy” and ”tumor explosion”. We study the system dynamics under the variation of the parameter of inactivation of immune cells by tumor cells. For deterministic model, parametric mono- and bistable zones and the corresponding changes in the basins of attraction are described. We investigate how the multiplicative random noise can change the dynamics of this tumor–immune system. Mechanisms of the noise-induced suppression and growth of tumor cells are investigated in detail. Furthermore, we reveal that near the saddle–node bifurcation points, the random disturbances can destroy the bistability and generate the intermittent oscillations between high and low levels of tumor cells. We perform an analysis of these phenomena by a novel approach based on the stochastic sensitivity functions and confidence domains.

Keywords: Tumor–immune system interactions; Random disturbances; Stochastic sensitivity; Bistability; Noise-induced effects; Intermittency (search for similar items in EconPapers)
Date: 2020
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Citations: View citations in EconPapers (1)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:549:y:2020:i:c:s0378437119321764

DOI: 10.1016/j.physa.2019.123923

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