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2011 | 9 | 3 | 616-620
Article title

Stochastic tumor growth system with two different kinds of time delay

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EN
Abstracts
EN
The dynamical properties of a noise-driven tumor cell growth system are investigated when there exist two different kinds of time delays, in the deterministic and fluctuating forces, respectively. Using the approximation probability density approach, the delayed Fokker-Planck equation is obtained. The effects of two different time delays on the stationary probability distribution (SPD), the mean value and the mean passage time (MFPT) are discussed. It is found that the time delay τ1 in the deterministic force can enhance tumor cell number, while the time delay τ2 in the fluctuating force can induce a decrease in tumor cell numbers. On the other hand, while τ1 can hold back the extinction of tumor cells, τ2 can speed up their extinction.
Keywords
Publisher

Journal
Year
Volume
9
Issue
3
Pages
616-620
Physical description
Dates
published
1 - 6 - 2011
online
26 - 2 - 2011
Contributors
  • Nonlinear Research Institute, Baoji University of Arts and Sciences, Baoji, 721007, China
author
  • Nonlinear Research Institute, Baoji University of Arts and Sciences, Baoji, 721007, China
author
  • Nonlinear Research Institute, Baoji University of Arts and Sciences, Baoji, 721007, China, cjwangbj@126.com
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Document Type
Publication order reference
Identifiers
YADDA identifier
bwmeta1.element.-psjd-doi-10_2478_s11534-010-0067-z
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