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Noise Correlation Induced Synchronization in a Mutualism Ecosystem

Wei-Rong Zhong·Yuan-Zhi Shao·Zhen-Hui He·Meng-Jie Bie·Dan Huang
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Abstract

Understanding the cause of the synchronization of population evolution is an important issue for ecological improvement. Here we present a Lotka-Volterra-type model driven by two correlated environmental noises and show, via theoretical analysis and direct simulation, that noise correlation can induce a synchronization of the mutualists. The time series of mutual species exhibit a chaotic-like fluctuation, which is independent to the noise correlation, however, the chaotic fluctuation of mutual species ratio decreases with the noise correlation. A quantitative parameter defined for characterizing chaotic fluctuation provides a good approach to measure when the complete synchronization happens.

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Wei-Rong Zhong, Yuan-Zhi Shao, Zhen-Hui He, Meng-Jie Bie, Dan Huang. 2007-01-21. Noise Correlation Induced Synchronization in a Mutualism Ecosystem. https://arxiv.org/abs/q-bio/0701033

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