Transitions induced by time delays and cross-correlated sine-Wiener noises in a tumor–immune system interplay

Wei Guo, Lu-Chun Du and Dong-Cheng Mei

Physica A: Statistical Mechanics and its Applications, 2012, vol. 391, issue 4, 1270-1280

Abstract: 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 〈x〉st of tumor cell population. Results show that (i) the structure of the SPD transfers from bimodal to unimodal as the reaction time (τα) of the cell population to environmental constraints increases; (ii) conversely, as the time (τβ) of immune system to develop specific immune competence and the correlation time (τ) of noises increase, the structure of the SPD transfers from unimodal to bimodal; (iii) as the cross-correlated intensity (λ′) between noises increases, the transitions induced by τ are suppressed.

Keywords: Tumor–immune system interplay; Transitions; Time delays; Cross-correlated sine-Wiener noises (search for similar items in EconPapers)
Date: 2012
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Citations: View citations in EconPapers (8)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:391:y:2012:i:4:p:1270-1280

DOI: 10.1016/j.physa.2011.11.007

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