%0 Journal Article %T Effect of noises on the stability of a metapopulation
噪声对集合种群稳定性的影响 %A Wang Can-Jun %A Li Jiang-Cheng %A Mei Dong-Cheng %A
王参军 %A 李江城 %A 梅冬成 %J 物理学报 %D 2012 %I %X The Levins model subjected to the noise is employed to study the stability of a metapopulation.The analytic expressions of the stationary probability distribution function and the mean extinction time of the metapopulation are obtained according to the Fokker-Planck Equation.The results show that for the case of no correlation between the additive noise and the multiplicative noise (λ= 0,λis the intensity of correlation between multiplicative and additive noise),the increase of the additive noise intensityαand the multiplicative noise intensity D weaken the stability of a metapopulation;for the case ofλ≠0,λenhances the stability of a metapopulation.For—(c—e—D)2/(AcVDa) < A < 1,A can induce the "resonance restrain" phenomenon.Meantime,there exists a critical value of D.When D is lower than the critical value,the stability of the system is enhanced. %K metapopulation %K Levins model %K noises %K stability
集合种群 %K Levins %K 模型 %K 噪声 %K 稳定性 %U http://www.alljournals.cn/get_abstract_url.aspx?pcid=6E709DC38FA1D09A4B578DD0906875B5B44D4D294832BB8E&cid=47EA7CFDDEBB28E0&jid=29DF2CB55EF687E7EFA80DFD4B978260&aid=78F360FC29C479117DC919622D0A3ADF&yid=99E9153A83D4CB11&vid=1D0FA33DA02ABACD&iid=59906B3B2830C2C5&sid=9040474710E01505&eid=9040474710E01505&journal_id=1000-3290&journal_name=物理学报&referenced_num=0&reference_num=39