| 具有时滞的浮游植物与营养模型的动力学行为分析 |
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| 引用本文： | 吴维新,曼合布拜·热合木.具有时滞的浮游植物与营养模型的动力学行为分析[J].新疆大学学报(理工版),2014(4):432-438. |
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| 作者姓名： | 吴维新 曼合布拜·热合木 |
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| 作者单位： | 新疆大学数学与系统科学学院,新疆乌鲁木齐,830046 |
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| 基金项目： | This work is supported by the National Nature science Foundation of China（11261058, 11261056）. |
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| 摘 要： | 考虑了具有营养循环的无时滞及有时滞浮游植物及营养模型。考虑的模型具有一般的营养摄取的反应函数与浮游植物成长反应函数。文章研究了模型的边界平衡点的全局稳定性及正平衡点的存在性与一致稳定性。最后利用数值模拟进一步说明模型的动力学行为。
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| 关 键 词： | 浮游植物 营养物质 平衡点 时滞 稳定性 |
Dynamical Analysis of a Nutrient-phytoplankton Model with Recycling |
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| WU Wei-xin,Mehbuba Rehim.Dynamical Analysis of a Nutrient-phytoplankton Model with Recycling[J].Journal of Xinjiang University(Science & Engineering),2014(4):432-438. |
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| Authors: | WU Wei-xin Mehbuba Rehim |
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| Affiliation: | WU Wei-xin, Mehbuba Rehim (College of Mathematics and System Sciences, Xinjiang University, Urumqi Xinjiang 830046, China) |
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| Abstract: | In the present paper, we consider a nutrient-phytoplankton model with instantaneous and time delayed recy-cling. The model incorporate a general nutrient uptake and a phytoplankton growth rate functions. We study the existence and stability of boundary and positive equilibrium. The numerical simulations illustrate the analytical results and provide further insight into the dynamics of the model. |
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| Keywords: | phytoplankton nutrient equilibrium delay stability |
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