CAJ | 학술논문

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 Ki ，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．
토론료재색조성격려하，구유독립상수솔포로화비호소효응적포식생태계통적은정성문제．재약우동가설하응용 Stratonovich-Khasminskii 수궤평균원리분별득도료량개물충적은태개솔밀도，병연구료포로강도 E1，색조성강도 Ki ，보관화조성상관시간대량개물충적은태개솔밀도적영향．Monte-Carlo 모의험증이론구해적합이성．연구표명：1）수착포로활동적증대，수궤인소대생태계통적영향축점감약；2）조성강도월대，생태계통월불은정；3）수궤격려적보대월관，생태계통월은정；4）수궤격려적상관시간월소，생태계통월은정．
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 den-sity 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 narro-wer 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.