噪声种群动力学的同步与稳定性
Synchronization and Stability in Noisy Population Dynamics
摘要：
研究了噪声环境下捕食-被捕食种群的稳定性和同步性。该系统是由当地人口的迁移和捕食附近耦合补丁。当考虑单个斑块时，随机扰动往往会使种群不稳定，导致灭绝。如果补丁的数量是小的，在噪声的存在下的稳定性保持在同步的代价。随着斑块数量的增加，斑块间的同步性和稳定性都增加。然而，一个剩余的噪声，大的噪声幅度相比，似乎坚持甚至在无限数量的补丁的限制。因此，最近R. Abta et.例如，结合噪声、扩散和非线性，似乎比最初提出的更一般。
英文摘要：
We study the stability and synchronization of predator-prey populations subjected to noise. The system is described by patches of local populations coupled by migration and predation over a neighborhood. When a single patch is considered, random perturbations tend to destabilize the populations, leading to extinction. If the number of patches is small, stabilization in the presence of noise is maintained at the expense of synchronization. As the number of patches increases, both the stability and the synchrony among patches increase. However, a residual asynchrony, large compared with the noise amplitude, seems to persist even in the limit of infinite number of patches. Therefore, the mechanism of stabilization by asynchrony recently proposed by R. Abta et. al., combining noise, diffusion and nonlinearities, seems to be more general than first proposed.
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