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Cross-correlated bounded noises induced the population extinction and enhancement of stability in a population growth model

Author

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  • Lin, Qiao-Feng
  • Wang, Can-Jun
  • Yang, Ke-Li
  • Tian, Meng-Yu
  • Wang, Ya
  • Dai, Jia-Liang

Abstract

The bounded noises as a new typed non-Gaussian noise have important practical significance. In this paper, the steady state and transient dynamical properties of the population growth model subjected to the cross-correlated sine-Wiener bounded noise are investigated based on the approximate Fokker–Planck Equation. The analytical expressions of stationary probability distribution function and extinction time of the population growth model are obtained. The results show that the bounded noise intensity and the cross-correlated bounded noise intensity can cause the population extinction, in particular, the population density are sensitive to the environmental fluctuation (multiplicative noise) and the self-correlated time. On the other hand, the effects of noise intensities on the extinction time are discussed. The results indicate that the extinction time can be decreased with the intrinsic stochasticity (additive noise) and the self-correlated time increasing. For the positive correlated case, the result is similar to the additive noise and the self-correlated time. However, for the negative correlated case, the extinction time can be increased with the intensity increasing. In particular, the environmental fluctuation (multiplicative noise) causes noise-enhanced stability for the negative correlated case, and the extinction time firstly decreases for the small environmental fluctuation, and then increases for the large environmental fluctuation for the positive correlated case. The numerical results are in basic agreement with the theoretical predictions.

Suggested Citation

  • Lin, Qiao-Feng & Wang, Can-Jun & Yang, Ke-Li & Tian, Meng-Yu & Wang, Ya & Dai, Jia-Liang, 2019. "Cross-correlated bounded noises induced the population extinction and enhancement of stability in a population growth model," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 525(C), pages 1046-1057.
    • Handle: RePEc:eee:phsmap:v:525:y:2019:i:c:p:1046-1057
    DOI: 10.1016/j.physa.2019.04.020
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    Citations

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    Cited by:

    1. Yu, Xingwang & Ma, Yuanlin, 2023. "Noise-induced bistability and noise-enhanced stability of a stochastic model for resource production–consumption under crowding effect and sigmoidal consumption pattern," Chaos, Solitons & Fractals, Elsevier, vol. 176(C).
    2. Yu, Xingwang & Ma, Yuanlin, 2022. "Steady-state analysis of the stochastic Beverton-Holt growth model driven by correlated colored noises," Chaos, Solitons & Fractals, Elsevier, vol. 158(C).
    3. Duan, Wei-Long, 2020. "The stability analysis of tumor-immune responses to chemotherapy system driven by Gaussian colored noises," Chaos, Solitons & Fractals, Elsevier, vol. 141(C).
    4. Dong, Yang & Wen, Shu-hui & Hu, Xiao-bing & Li, Jiang-Cheng, 2020. "Stochastic resonance of drawdown risk in energy market prices," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 540(C).
    5. Ponosov, Arcady & Idels, Lev & Kadiev, Ramazan, 2020. "Stochastic McKendrick–Von Foerster models with applications," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 537(C).
    6. Cheng, Guanghui & Liu, Weidan & Gui, Rong & Yao, Yuangen, 2020. "Sine-Wiener bounded noise-induced logical stochastic resonance in a two-well potential system," Chaos, Solitons & Fractals, Elsevier, vol. 131(C).

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