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Effects of periodic force on the stability of the metastable state in logistic system

Author

Listed:
  • Yang, Lin-Jing
  • Lv, Feng
  • Mei, Dong-Cheng

Abstract

The effects of periodic force on the stability of the metastable state in logistic model are investigated. The expression of the mean first-passage time (MFPT) from the metastable state to the stable state is derived. Based on the expression, the effects of periodic force on the MFPT were analyzed. The results indicate that: (i) For the case of the multiplicative noise induced transition, the multiplicative noise and the periodic force weaken the stability of the metastable state; (ii) For the case of the additive noise induced transition, the stability of the metastable state is weakened by the additive noise when the periodic force takes value of the first half cycle, while the stability of the metastable state is enhanced by the additive noise when the periodic force takes value of the second half cycle; (iii) For the case of the correlation between the multiplicative and the additive noise induced transition, the correlation between the multiplicative and the additive noises and the periodic force weaken the stability of the metastable state.

Suggested Citation

  • Yang, Lin-Jing & Lv, Feng & Mei, Dong-Cheng, 2015. "Effects of periodic force on the stability of the metastable state in logistic system," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 432(C), pages 331-336.
    • Handle: RePEc:eee:phsmap:v:432:y:2015:i:c:p:331-336
    DOI: 10.1016/j.physa.2015.03.056
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    Cited by:

    1. Guo, Qin & Sun, Zhongkui & Xu, Wei, 2016. "The properties of the anti-tumor model with coupling non-Gaussian noise and Gaussian colored noise," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 449(C), pages 43-52.

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