| 具收获与投放的三种群Volterra模型的周期轨道 |
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| 引用本文： | 徐瑞,马知恩.具收获与投放的三种群Volterra模型的周期轨道[J].生物数学学报,1996,11(2):31-37. |
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| 作者姓名： | 徐瑞 马知恩 |
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| 作者单位： | 军械工程学院!石家庄市050003(徐瑞)，西安交通大学!西安710049(马知恩，周义仓) |
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| 摘 要： | 本文在文〔2〕的基础上，研究三维动力系统的Lyapunov分枝问题．放宽了文〔2〕中关于向量场函数的限制，相应地给出从空间闭轨族扰动产生孤立周期解的判定方法．应用判定定理及椭圆函数的积分技巧，研究了具有收获与投放的三种群Volterra模型，得到了存在周期轨道的充分条件．
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| 关 键 词： | Volterra模型 闭轨 Lyapunov分枝 |
PERIODIC ORBITS ON THREE DIMENSIONAL VOLTERRA MODEL WITH HARVESTING AND STOCKING |
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| Xu Rui,Ma Zhien,Zhou Yicang.PERIODIC ORBITS ON THREE DIMENSIONAL VOLTERRA MODEL WITH HARVESTING AND STOCKING[J].Journal of Biomathematics,1996,11(2):31-37. |
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| Authors: | Xu Rui Ma Zhien Zhou Yicang |
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| Institution: | Xu Rui;Ma Zhien;Zhou Yicang(Ordnance Engineering College 050003)(Xi'an Jiaotong University 710049) |
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| Abstract: | In this paper,the authors continue to study the Liapunov bifurcation problem on three dimensional dynamical system on the basis of paper2],the restrictions on the vector fields are relaxed;the method that judge the existence of periodic solutions generated from the closed orbits is given.By using the criterion theorem and the integrating technique of elliptic function,we discuss the three dimensional Volterra system with harvesting and stocking,the sufficient conditions of the existence of periodic solutions are obtained. |
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| Keywords: | Volterra model closed orbits Lyapunov bifurcation |
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