Colored Noises-Induced Regime Shifts in a Vegetation Ecological System

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 tau(1) and tau(2), the cross-correlation time tau(3) 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 tau(1) can induce regime shifts from the desert state to the sustainable vegetation state, while the self-correlation time tau(2), cross-correlation time tau(3) and intensity k can induce regime shifts from the sustainable vegetation state to the desert state; and (ii) the self-correlation time tau(1) or tau(2) can enhance the stability of the sustainable vegetation biomass, while the cross-correlation time tau(3) or strength k weakens the stability of the sustainable vegetation biomass.