Journal
PHYSICA A-STATISTICAL MECHANICS AND ITS APPLICATIONS
Volume 391, Issue 4, Pages 1270-1280Publisher
ELSEVIER SCIENCE BV
DOI: 10.1016/j.physa.2011.11.007
Keywords
Tumor-immune system interplay; Transitions; Time delays; Cross-correlated sine-Wiener noises
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Funding
- National Natural Science Foundation of China [11165016]
- University of Yunnan province
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A model of tumor-immune system interplay with time delays and cross-correlated sine-Wiener noises is investigated by numerical simulations for the stationary probability distribution (SPD) and stationary mean value (st) of tumor cell population. Results show that (i) the structure of the SPD transfers from bimodal to unimodal as the reaction time (tau(alpha)) of the cell population to environmental constraints increases; (ii) conversely, as the time (tau(beta)) of immune system to develop specific immune competence and the correlation time (tau) of noises increase, the structure of the SPD transfers from unimodal to bimodal; (iii) as the cross-correlated intensity (lambda') between noises increases, the transitions induced by tau are suppressed. (C) 2011 Elsevier B.V. All rights reserved.
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