Open AccessEffect of noises on the stability of a metapopulation
Author(s) -
Can-Jun Wang,
Jiang-Cheng Li,
Mei Dong-Cheng
Publication year - 2012
Publication title -
wuli xuebao
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.199
H-Index - 47
ISSN - 1000-3290
DOI - 10.7498/aps.61.120506
Subject(s) - metapopulation , stability (learning theory) , multiplicative function , statistical physics , multiplicative noise , extinction (optical mineralogy) , noise (video) , intensity (physics) , stationary distribution , physics , mathematics , statistics , mathematical analysis , quantum mechanics , computer science , transmission (telecommunications) , markov chain , population , optics , telecommunications , biological dispersal , sociology , machine learning , demography , signal transfer function , artificial intelligence , analog signal , image (mathematics)
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 (=0, is the intensity of correlation between multiplicative and additive noise), the increase of the additive noise intensity weakens the stability of a metapopulation; for the case of 0, enhances the stability of a metapopulation. For -(c-e-D)2/(4cD)1, 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.