| 一类时滞依托型互利共生系统的局部稳定性分析 |
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| 引用本文： | 高琴.一类时滞依托型互利共生系统的局部稳定性分析[J].内蒙古大学学报(自然科学版),2009,40(3). |
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| 作者姓名： | 高琴 |
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| 作者单位： | 天津大学管理学院,天津,300072;河北科技大学经济管理学院,河北,石家庄,050000 |
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| 基金项目： | 国家自然科学基金信息科学部资助项目 |
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| 摘 要： | 研究了一类在一般Lotka-Volterra模型基础上进行了适当改进的具有离散时滞的两种群依托型互利共生系统.通过构造一个适当的Lyapunov泛函,分析了系统正平衡点的局部稳定性,得到了系统正平衡点局部渐近稳定的充分条件,给出了Lyapunov泛函的详细构造过程,并估计了可允许时滞的大小.
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| 关 键 词： | 互利共生系统 时滞 局部稳定性 Lyapunov泛函 |
Local Stability of a Symbiosis Model with Delays |
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| GAO Qin.Local Stability of a Symbiosis Model with Delays[J].Acta Scientiarum Naturalium Universitatis Neimongol,2009,40(3). |
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| Authors: | GAO Qin |
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| Institution: | 1.School of Management;Tianjin University;Tianjn 300072;China;2.College of Economics and Management;Hebei University of Science and Technology;Shijiazhuang 050000;China |
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| Abstract: | An improved symbiosis Lotka-Volterra model with discrete delays is considered.The local stability of the positive equilibrium is investigated through constructing a proper Lyapunov functional.A detailed and explicit procedure of obtaining the sufficient conditions for local stability of the positive equilibrium of the system is given and an estimate about the size of allowable delay is provided. |
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| Keywords: | symbiosis model delay local stability Lyapunov functional |
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