物理学报Issue(22)：224208-1-224208-6,6.DOI:10.7498/aps.62.224208
色关联噪声对林木Logistic生长模型的影响
Influences of correlated colored-noises on logistic model for tree growth
摘要
Abstract
By virtue of Liouville Theorem and unified colored-noise approximation approach, an approximate Fokker-Planck equation for a tree growth Logistic model subjected to cross-correlated colored noises is derived, and the steady-state probability distribution (SPD) function is obtained. The steady-state properties of the Logistic model are analyzed. We find the following:(1) the position of peak of SPD moves toward left side as D increases while the position of the peak moves toward the contrary direction with Q increasing;(2) the peak of SPD becomes narrow and grows in height as|λ|increases, and for the case ofλ>0, the position of peak moves toward right as D increases, but it is opposite for the case ofλ<0 as Q increases.关键词
林木生长/Logistic模型/色噪声/稳态概率分布Key words
tree growth/Logistic model/correlated noises/steady-state probability distribution引用本文复制引用
王国威,徐大海,程庆华..色关联噪声对林木Logistic生长模型的影响[J].物理学报,2013,(22):224208-1-224208-6,6.基金项目
湖北省高等学校优秀中青年科技创新团队计划(批准号:T201204)和湖北省教育厅重点科学技术研究项目(批准号:D20121203)资助的课题.*Project supported by the Technology Creative Project of Excellent Young Team of Hubei Province, China (Grant No. T201204) and the Emphases Item of Education Office of Hubei Province, China (Grant No. D20121203) （批准号:T201204）
