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Interplay Between Cross Correlation and Delays in the Sine-Wiener Noise-Induced Transitions

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Bounded Noises in Physics, Biology, and Engineering

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Abstract

The analyses and a possible definition of cross-correlated sine-Wiener noises are given first. As an application example, the 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 and stationary mean value of tumor cell population.

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Acknowledgments

This work was supported by the National Natural Science Foundation of China (Grant No. 11165016) and the program for Innovative Research Team (in Science and Technology) in University of Yunnan province.

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Authors and Affiliations

  1. Department of Physics, Yunnan University, Kunming, China

    Wei Guo & Dong-Cheng Mei

Authors
  1. Wei Guo
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  2. Dong-Cheng Mei
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Corresponding author

Correspondence to Wei Guo .

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Editors and Affiliations

  1. Department of Experimental Oncology, European Institute of Oncology, Milan, Italy

    Alberto d'Onofrio

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Guo, W., Mei, DC. (2013). Interplay Between Cross Correlation and Delays in the Sine-Wiener Noise-Induced Transitions. In: d'Onofrio, A. (eds) Bounded Noises in Physics, Biology, and Engineering. Modeling and Simulation in Science, Engineering and Technology. Birkhäuser, New York, NY. https://doi.org/10.1007/978-1-4614-7385-5_12

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