新疆大学数学与系统科学学院
纸质出版:2015
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[1]王新兵,张龙,谢秋霞.带有白噪声干扰的单种群对称扩散模型[J].新疆大学学报(自然科学版),2015,32(02):165-169.
[1]王新兵,张龙,谢秋霞.带有白噪声干扰的单种群对称扩散模型[J].新疆大学学报(自然科学版),2015,32(02):165-169. DOI: 10.13568/j.cnki.651094.2015.02.07.
DOI:10.13568/j.cnki.651094.2015.02.07.
研究了带有白噪声干扰的单种群在n个斑块间对称扩散的随机模型.通过构造合适的Lyapunov函数
给出了系统解的全局正性、随机最终有界性和灭绝性.
In this paper
we studied a Single species symmetric dispersal model with random perturbation. By constructing appropriate Lyapunov functions
the sufficient conditions on the global positivity
the ultimate boundedness in mean and the extinction in mean of the solution are given.
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