Colored Noises-Induced Regime Shifts in a Vegetation Ecological System |
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| Authors: | HAN Qing-Lin ZENG Jia-Kui YANG Tao ZHANG Chun LONG Fei FU Yun-Chang ZENG Chun-Hua |
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| Institution: | 1.Faculty of Science, Kunming University of Science and Technology, Kunming 650093, China;2.Center of Metallurgical Energy Conservation and Emission Reduction, Ministry of Education, Kunming University of Science and Technology, Kunming 650093, China |
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| Abstract: | 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: (#em/em#) 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. |
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| Keywords: | colored noises vegetation model stationary probability distribution mean first passage time |
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