Existence, uniqueness, and global attractivity of positive solutions and MLE of the parameters to the Logistic equation with random perturbation

Existence, uniqueness, and global attractivity of positive solutions and MLE of the parameters to the Logistic equation with random perturbation
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随机扰动 Logistic 方程正解的存在性、唯一性和全局吸引力以及参数的 MLE

DOI:
10.1007/s11425-007-0071-y
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发表时间:
2007-07-01
期刊:
SCIENCE IN CHINA SERIES A-MATHEMATICS
影响因子:
--
通讯作者:
Shi, Ning-zhong
Shi, Ning-zhong
中科院分区:
其他
文献类型:
--
作者:
Jiang, Da-qing;Zhang, Bao-xue;Shi, Ning-zhong

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This paper discusses a randomized Logistic equation N(t) = (r + alpha B(t))N(t)[1-N(t)/K] with an initial value N(0) = N-0, and N-0 is a random variable satisfying 0 < N-0 < K. The existence, uniqueness and global attractivity of positive solutions and maximum likelihood estimate (MLE) of the parameters of the equation are studied.