噪声和捕捞对捕食生态系统稳定性的影响
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国家自然科学基金资助项目(11202120,61273311)


Effects of noises and harvesting on the stability in the prey-predator ecosystem
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    摘要:

    本文讨论了在色噪声激励下,具有独立常数率捕捞和庇护所效应的捕食生态系统的稳定性问题.在弱扰动假设下应用StratonovichKhasminskii随机平均原理分别得到了两个物种的稳态概率密度,并研究了捕捞强度E1,色噪声强度Kii,谱宽和噪声相关时间对两个物种的稳态概率密度的影响.MonteCarlo模拟验证理论求解的合理性.研究表明:1)随着捕捞活动的增大,随机因素对生态系统的影响逐渐减弱;2)噪声强度越大,生态系统越不稳定;3)随机激励的谱带越宽,生态系统越稳定;4)随机激励的相关时间越小,生态系统越稳定.

    Abstract:

    This paper discusses stability problem of a new stochastic predation type ecosystem with corporating a preyrefuge and independent harvesting in either species. To explore the preyharvesting and colored noises effects on the stability of the ecosystem, with the assumption of weak disturbances, the stationary probability density functions for both species were obtained by applying the Stratonovich  Khasminskii averaging principle. The accuracy of the results obtained from theoretical method was demonstrated by those obtained from Monte Carlo simulation. Results obtained show that:1) the ecosystem with smaller harvesting is less stable when the system is disturbed by noises; 2) the stronger the noise intensities are, the less stable the ecosystem will be; 3) the narrower the band width is, the less stable the ecosystem will be; a narrower band width leads to a less stable system;4) a smaller correlation time leads to a more stable system.

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董庆国,宁丽娟.噪声和捕捞对捕食生态系统稳定性的影响[J].动力学与控制学报,2015,13(4):314~320; Dong Qingguo, Ning Lijuan. Effects of noises and harvesting on the stability in the prey-predator ecosystem[J]. Journal of Dynamics and Control,2015,13(4):314-320.

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  • 在线发布日期: 2015-07-20
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