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首页> 外文期刊>The European physical journal, E. Soft matter >Time-delay-induced dynamical behaviors for an ecological vegetation growth system driven by cross-correlated multiplicative and additive noises
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Time-delay-induced dynamical behaviors for an ecological vegetation growth system driven by cross-correlated multiplicative and additive noises

机译：通过交叉相关乘法和添加剂噪声驱动的生态植被生长系统的时滞诱导动力学行为

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摘要

In this paper, the modified potential function, the stationary probability distribution function (SPDF), the mean growth time and the mean degeneration time for a vegetation growth system with time delay are investigated, where the vegetation system is assumed to be disturbed by cross-correlated multiplicative and additive noises. The results reveal some fact that the multiplicative and additive noises can both reduce the stability and speed up the decline of the vegetation system, while the strength of the noise correlation and time delay can both enhance the stability of the vegetation and slow down the depression process of the ecological system. On the other hand, with regard to the impacts of noises and time delay on the mean development and degeneration processes of the ecological system, it is discovered that 1) in the development process of the vegetation population, the increase of the noise correlation strength and time delay will restrain the regime shift from the barren state to the boom one, while the increase of the additive noise can lead to the fast regime shift from the barren state to the boom one. 2) Conversely, in the depression process of the ecological system, the increase of the strength of the correlation noise and time delay will prevent the regime shift from the boom state to the barren one. Comparatively, the increase of the additive and multiplicative noises can accelerate the regime shift from the boom state to the barren state.
机译：在本文中，研究了修改的潜在功能，静止概率分布函数（SPDF），平均生长时间和植被生长系统的平均退化时间随时间延迟的，其中假设植被系统被交叉扰乱相关乘法和附加噪声。结果揭示了一些事实，即乘法和附加噪声既可以降低植被系统的稳定性和加速，而噪声相关性和时间延迟的强度都可以增强植被的稳定性并减慢抑郁过程。生态系统。另一方面，关于噪音和时间延迟对生态系统的平均发育和变性过程的影响，发现1）在植被群的开发过程中，噪声相关强度的增加和时间延迟将抑制从贫瘠状态转移到悬臂的区域，而添加剂噪声的增加可能导致从贫瘠状态转移到臂架上的快速状态。 2）相反，在生态系统的凹陷过程中，相关噪声和时间延迟的强度的增加将阻止从臂态转向贫瘠的状态。相比之下，添加剂和乘法噪声的增加可以加速从动臂状态到贫瘠状态的方案偏移。

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