| Slowly Oscillating Periodic Solutions for a Delayed Physiological Model |
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| 作者姓名： | Xiu-ling Li~ Jun-jie Wei~ |
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| 作者单位： | Xiu-ling Li~1，Jun-jie Wei~2，1 Department of Basic Science and Art，Changchun Taxation College，Changchun 130022，China 2 Department of Mathematics，Harbin，Institute of Technology Harbin 150001，China |
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| 基金项目： | Supported by the National Natural Science Foundation of China (No.19831030)，The thesis is the production of the natural science research item for the 10th five-year plan in Jilin province office of education (No.200433). |
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| 摘 要： | In this paper, we study a simplified model with delay for a control of testosterone secretion. Employing the ejective fixed point principle due to Nussbaum, the existence of slowly oscillating periodic solution of the model is proven when the delay parameter r>r_0, for some constant r_0>0.
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| 关 键 词： | 慢速振动 周期解 时滞微分方程 物理模型 |
| 收稿时间： | 20 May 2002 |
Slowly Oscillating Periodic Solutions for a Delayed Physiological Model |
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| Xiu-ling Li,Jun-jie Wei,.Slowly Oscillating Periodic Solutions for a Delayed Physiological Model[J].Acta Mathematicae Applicatae Sinica,2005,21(1):19-30. |
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| Authors: | Xiu-ling Li Jun-jie Wei |
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| Institution: | (1) Department of Basic Science and Art, Changchun Taxation College, Changchun 130022, China;(2) Department of Mathematics, Harbin, Institute of Technology, Harbin 150001, China |
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| Abstract: | In this paper, we study a simplified model with delay for a control of testosterone secretion. Employing the ejective fixed point principle due to Nussbaum, the existence of slowly oscillating periodic solution of the model is proven when the delay parameter r>r_0, for some constant r_0>0. |
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| Keywords: | slowly oscillating periodic solution delayed physiological model |
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