We explore the impact of time-periodic forcing on pattern transitions in a plankton system of reaction–diffusion type. Here, we mainly focus on the forced states near the Turing–Hopf bifurcation. A normal form analysis leads to the finding that weak forcing exhibits a destabilizing effect on the dynamics by exciting the transitions from a spatially homogeneous stationary state to a periodic oscillation in time. The results are obtained by studying the amplitude equations derived using weakly nonlinear analysis in the presence of forcing, which enables us to calculate the changes of states. Examples are given to confirm the theoretical results.

中文翻译：

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浮游生物系统中图灵-霍普夫分岔附近的时间强迫诱导模式转变

我们探讨了时间周期强迫对反应扩散型浮游生物系统中模式转变的影响。在这里，我们主要关注图灵-霍普夫分岔附近的强迫状态。正常形式分析导致发现弱强迫通过激发从空间均匀静止状态到时间周期性振荡的转变而对动力学表现出不稳定的影响。结果是通过研究在存在强迫的情况下使用弱非线性分析得出的振幅方程得到的，这使我们能够计算状态的变化。给出了实例来证实理论结果。