Colored Noises-Induced Regime Shifts in a Vegetation Ecological System  

Colored Noises-Induced Regime Shifts in a Vegetation Ecological System

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作  者:韩清林 曾嘉葵 杨涛 张春 龙飞 伏云昌 曾春华 

机构地区:[1]Faculty of Science, Kunming University of Science and Technology [2]Center of Metallurgical Energy Conservation and Emission Reduction, Ministry of Education, Kunming University of Science and Technology

出  处:《Communications in Theoretical Physics》2015年第8期151-158,共8页理论物理通讯(英文版)

基  金:Supported by the National Natural Science Foundation of China under Grant No.11305079;the Introduction of Talent Capital Group Fund Project of Kunming University of Science and Technology under Grant No.KKZ3201407030

摘  要:In this paper, we investigate the stationary probability distribution and mean first passage time in a vegetation ecological system, which is driven by cross-correlation between intrinsic and extrinsic colored noises as well as the nonzero cross-correlation in between. The impacts of the self-correlation time τ1 and τ2, the cross-correlation time τ3 and intensity k on the stationary probability distribution and mean first passage time are discussed, respectively. Our main results show that:(i) the self-correlation time τ1 can induce regime shifts from the desert state to the sustainable vegetation state, while the self-correlation time τ2, cross-correlation time τ3 and intensity k can induce regime shifts from the sustainable vegetation state to the desert state; and(ii) the self-correlation time τ1 or τ2 can enhance the stability of the sustainable vegetation biomass, while the cross-correlation time τ3 or strength k weakens the stability of the sustainable vegetation biomass.In this paper, we investigate the stationary probability distribution and mean first passage time in a vegetation ecological system, which is driven by cross-correlation between intrinsic and extrinsic colored noises as well as the nonzero cross-correlation in between. The impacts of the self-correlation time τ1 and τ2, the cross-correlation time τ3 and intensity k on the stationary probability distribution and mean first passage time are discussed, respectively. Our main results show that:(i) the self-correlation time τ1 can induce regime shifts from the desert state to the sustainable vegetation state, while the self-correlation time τ2, cross-correlation time τ3 and intensity k can induce regime shifts from the sustainable vegetation state to the desert state; and(ii) the self-correlation time τ1 or τ2 can enhance the stability of the sustainable vegetation biomass, while the cross-correlation time τ3 or strength k weakens the stability of the sustainable vegetation biomass.

关 键 词:COLORED NOISES VEGETATION MODEL STATIONARY probabi 

分 类 号:O175[理学—数学]

 

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