Abstract In this paper, we investigate the effect of water temperature on phytoplankton–zooplankton dynamics with Holling type III functional response. Remarkably, growth rate, capture rate, handling time, death rate and Holling parameter are considered to be temperature dependent, which makes the model different from those in the existing related literatures. First, the relationships between model parameters and water temperature are presented. Then we give the positivity and boundedness of the solutions. And parameters dependent equilibrium analysis and stability analysis are obtained, respectively. It shows that when the water temperature is lower or higher than the optimal temperature, the equilibrium density of phytoplankton increases with decreasing capture rate and increasing handling time. Meanwhile, we show that the decrease of capture rate and increase of handing time cause the density of zooplankton also increases without the optimal temperature, while the population of zooplankton tends to decrease with decrease of growth rate. In addition, sensitivity of coexisting equilibrium to the parameters of the phytoplankton–zooplankton model is analyzed. Finally, one parameter bifurcation analysis is done.

中文翻译：

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水温对浮游植物-浮游动物模型动态行为的影响

摘要 在本文中，我们研究了水温对浮游植物-浮游动物动力学的影响，并具有 Holling III 型功能响应。值得注意的是，生长率、捕获率、处理时间、死亡率和霍林参数被认为是温度相关的，这使得该模型不同于现有相关文献中的模型。首先，介绍了模型参数与水温之间的关系。然后我们给出解的正性和有界性。并分别得到参数相关的平衡分析和稳定性分析。表明当水温低于或高于最适温度时，浮游植物的平衡密度随着捕获率的降低和处理时间的增加而增加。同时，我们表明，捕获率的降低和处理时间的增加导致浮游动物密度也在没有最佳温度的情况下增加，而浮游动物的数量随着增长率的降低而减少。此外，还分析了共存平衡对浮游植物-浮游动物模型参数的敏感性。最后，进行一参数分岔分析。