Chaos in a seasonally and periodically forced phytoplankton–zooplankton system |
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| Authors: | Meng Gao Honghua Shi Zizhen Li |
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| Institution: | 1. School of Mathematics and Statistics, Lanzhou University, Lanzhou 730000, China;2. Institute of Applied Mathematics, Ocean University of China, Qingdao 266071, China |
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| Abstract: | The effect of seasonality and periodicity on plankton dynamics is investigated. Periodic variations are added to two different parameters of the plankton ecosystem: the growth rate of phytoplankton and the death rate of the zooplankton. The dynamic behaviors of the system is simulated numerically. A variety of complex population dynamics including chaos, quasi-periodicity, and periodic resonance are obtained. Our result reinforces the conjecture that seasonality and periodicity are crucial to plankton dynamics. |
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