| 一类非线性生物动力系统的控制稳定性 |
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| 引用本文： | 张红雷. 一类非线性生物动力系统的控制稳定性[J]. 徐州工程学院学报, 2009, 0(4): 65-68 |
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| 作者姓名： | 张红雷 |
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| 作者单位： | 徐州工程学院,江苏徐州221008 |
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| 基金项目： | 江苏省教育厅自然科学计划指导项目（KJD110197）;徐州工程学院科研基金资助项目（XKY200621） |
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| 摘 要： | 研究了一类具有功能性反应的两种群生物动力系统的控制稳定性问题．应用脉冲微分方程稳定性理论，得到了使不稳定的正平衡点渐近稳定的充分条件，从而使该种群达到了一个新的适宜各物种持续共存、发展的稳定状态，并通过实例进行了证明，最后给出了生态解释．
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| 关 键 词： | 生态系统 微分方程 控制 稳定性 |
On the Control Stability of a Class of Nonlinear Biological Dynamical System |
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| ZHANG Hong-lei. On the Control Stability of a Class of Nonlinear Biological Dynamical System[J]. Journal of Xuzhou Istitute of Technology, 2009, 0(4): 65-68 |
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| Authors: | ZHANG Hong-lei |
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| Affiliation: | ZHANG Hong-lei (Xuzhou Institute of Technology, Xuzhou 221008, China) |
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| Abstract: | The control stability problem of two species of biological dynamic system with Holling functional response were studied. Sufficient conditions for this system＇s unstable positive equilibrium to approach asymptotic stability were derived by applying the stability theory of impulsive differential equation. So the species arrived at a new stable state in which they could sustainably develop. And an example was given to prove this method. Finally, the paper gave the ecological explanation. |
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| Keywords: | ecological system differential equation control stability |
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