| 一类候鸟模型稳定性的研究 |
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| 引用本文： | 刘颖芬. 一类候鸟模型稳定性的研究[J]. 赣南师范学院学报, 2011, 32(6): 34-38 |
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| 作者姓名： | 刘颖芬 |
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| 作者单位： | 赣南师范学院数学与计算机科学学院,江西赣州,341000 |
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| 基金项目： | 基金项目:江西省教育厅科技支撑计划项目，赣南师范学院校级科研课题 |
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| 摘 要： | 在考虑和不考虑环境干扰的情况下对带有饱和传染率的候鸟模型分别进行了讨论.得到了确定系统的解的有界性及平衡点的稳定性,同时,通过构造Lyapunov函数,给出了随机系统内部平衡点的指数稳定性.研究得到,当把干扰强度控制在一定的阈值之下时,在确定系统中使用的控制策略在随机系统中同样适用.
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| 关 键 词： | 候鸟 随机干扰 饱和发生率 控制 |
The Stability Analysis of a Model for Migratory Birds |
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| LIU Yingfen. The Stability Analysis of a Model for Migratory Birds[J]. Journal of Gannan Teachers' College(Social Science(2)), 2011, 32(6): 34-38 |
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| Authors: | LIU Yingfen |
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| Affiliation: | LIU Yingfen(School of Mathematics and Computer Science,Gannan Normal University,Ganzhou 341000,China) |
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| Abstract: | A model with saturation incidence rate for migratory birds was proposed. It was researched both in the absence and in the presence of environmental disturbances. In the deterministic system, the boundedness of the solution and the stability of equilibri- ums of the system were obtained. Moreover, in consideration of the environmental disturbances, by constructing the Lyapunov function, it was observed that the interior equilibrium of the stochastic system was exponentially stable. By observations, it is illustrated that if the indensity of the stochastic perturbations is kept under a certain threshold value, the control procedure obtained in the deterministic system is also effective in the stotastic model. |
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| Keywords: | migratory birds stochastic perturbations saturation incidence rate control |
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