Dynamics in a diffusive phytoplankton-zooplankton system with time delay and harvesting
Dynamics in a diffusive phytoplankton-zooplankton system with time delay and harvesting
复制标题
具有时间延迟和收获的扩散浮游植物-浮游动物系统的动力学
DOI：
10.1186/s13662-019-2002-y
复制
发表时间：
2019-02-27
影响因子：
4.1
通讯作者：
Tang, Leiyu
中科院分区：
文献类型：
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作者：
Li, Yanfeng;Liu, Haicheng;Tang, Leiyu
浮游植物-浮游动物对研究浮游生物和保护海洋环境具有重要意义。在本文中，我们提出了一个扩散的浮游植物-浮游动物模型，其中我们还考虑了浮游动物捕食和收获的时间延迟。通过分析特征值的分布，研究了时滞作为分岔参数的正平衡点的稳定性和Hopf分岔的存在性。分析了Hopf分岔的性质，给出了确定Hopf分岔方向和稳定性的显式公式。最后，通过数值模拟分析了收获、转化率、半饱和和延时等因素对信号传输的影响。结果表明，捕获参数、转化率和半饱和常数均可用于控制浮游生物种群的繁殖。
The phytoplankton-zooplankton is fundamentally important to study plankton and protect marine environment. In this paper, we propose a diffusive phytoplankton-zooplankton model, in which we also consider time delay in zooplankton predation and harvesting in zooplankton. By analyzing the distribution of eigenvalues, we investigate the stability of the positive equilibrium and the existence of Hopf bifurcation using time delay as a bifurcation parameter. We analyze the property of Hopf bifurcation and give an explicit formula for determining the direction and the stability of Hopf bifurcation. Finally, by numerical simulation, we analyze the effect of harvesting, conversion rate, half-saturation, and time delay. We conclude that harvesting parameter, conversion rate, and half-saturation constant all can be used in controlling the bloom of plankton population.